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Firstly a very warm welcome to PT, and secondly wow that pic took a long time to download, but it was well worth the wait,what a gorgeous cat you have, and those eyes, beautiful.
kitty looks well covered, but not really fat, my Ash(see in Sig) is about the same weight, he was a big muscular cat, and can carry a bit extra, but I do consider him to be a bit on the chubby side myself, he is getting on now and seems to have arthritis, so he sure could do with loosing a few pounds, he is like your kitty , gorges himself and then pukes almost immediately, he had furballs, and I now have him on a good diet that helps that, I also control his feeding now, little and often and that has cut down on the puking, he just ate too much at once, he also never chews his meat much and so it does not digest and he pukes it up, so i just hand feed him a little at a time when he gets red meat, which is only like once a week.
This has helped him quite a bit, but I guess the best advice is to try some of the light formula's out there, maybe one with a furball remedy in it, your kitty looks pretty furry, so maybe has the same problem as my Ash.
Good luck, and we hope to see more of your precious kitty and hear all about you and your family and furbabies.:)