Second thing... don't do a soup. And with soup i mean:
for entertainment I place two BIG stadiums 1 pyramids 2 med stadiums huge park the 3 or 4 of the tall gold monolith
This is pure chaos, if you prefer to use many type of building for aesthetic reason is.. well, a your choice, but is far away to be a good layout. No one will stop you to use pyramids (600 slot for a 6x6), large park (650 slot for 9x9..), or the obelisk (only 50 for 2x2), but don't blame the game if you use to much space...
In any case for 200k pop you need 30k entertainment slots (6 large stadium), from the list above you will have only 13450 ent slots (2 large stadium, 2 med stadium, 1 pyramids, large park, 4 obelisk)..
Is better to don't use 20 type, just use the higher utility capacity (or better IQ, if you have building with min IQ) for the space you have. Not every building available.
For the approval rating, the only way to having 100%, is to don't have pop :D If you have colonist, at the moment you will have max 94-95%, without any concerns, but if you don't have the right % for utility, will be lower.