One thing here I don't see mentioned is the upper eyes of the F holes. It is important that this measurement be taken into consideration as well as the Bass Bar.
I will show 3 examples below.
One (a S.Gilkes), the Bridge is correctly centered and the Bass Bar was recently replaced by the same Luthier so he was familiar with the Bass and its tonal needs as well as structural.
*Notice how the outer feet of the Bridge line up perfectly just inside the upper eyes of the FFs.
The second had a Bridge that was way too wide for it and it contributed to pushing the Top in and opening up one of the Top cracks udder the G side F wing. The eyes of this Italian Bass are close together measuring only about 145mm. The Bridge measured 180mm. Way to wide for this Top. The string length was 44 1/2" so the previous owner put a 4/4-5/4 size bridge on it ignoring the FF widths and damaged the Top. 145-150mm is the maximum this Bass should have at the feet.
*Note how many cracks are visible to the naked eye in this pic above. This Bass seriously needs the correct sized bridge. To use the Bass temporarily while it awaits its restoration, I have trimmed the outer feet 5mm each to take some of the excess pressure off the Top. This little bit has actually helped in the sound.
The third is actually a 4/4 sized Bass with the upper F eyes to match measuring about 190mm+. The Bassbar however is in quite a bit so the estimated bridge feet width will be 165mm. This is what it needs to center over the Bassbar. Perhaps this is best as this Top is over 200 years old and had never sunk in at all. Its tight grain also contributes to its strength.
*On this Bass currently Bridgeless and in restoration, it is clearly seen that the previous placement of the Bridge was well inside the width of the upper F eyes almost 10mm each side of the upper F eyes. The Bridge that came with the Bass was about 180mm. With the Bass bar further in, this Bridge while not at all to0 big for the Bass was too wide for the 'bar placement.

Panos, on your Bass 145mm or 150mm is not as important as which fits your Bass best. With such a small difference (2.5mm per side) I don't think it's much of an issue. Measure the upper Eyes and go from there. Better too narrow than too wide. However your measurements from the center of 103mm-109mm on the bigger bridge tell me the difference might be 5mm per side and not 5mm overall. Check again but also, 5mm total over it not a huge problem.