Tyre dealer false tire size sold for 325d cabrio

Hello, I was abroad for half a year, during which time my parents bought new winter tyres for their BMW. Since they had bought the car only used in the spring they did not know what size was necessary and simply trusted the local tyre dealer. When I came back and sometimes air pressure checked me that the tyre size is not listed at all. Also in the registration are only 17 inches 225/45. On the car, however, now Dunlop Winter Sport 3D 205/50 R17. Wanted to ask the BMW dealer now, maybe you can have the tyre size entered, but usually the manufacturers think what about the tyre size. 205 for n 2.5d also seems a little small. If it is really wrong size I will try to get right rims + tyres from the tyre dealer, at most pay off new price difference. Thanks in advance