Router is the device that connects two different networks together. So you must theoretically have two different networks on both sides of your router.
From what you have written in your question I suggest that that is not your provider, but rather your router that assigns you the IPs you provided:
192.168.*.* is common for local network topologies, not for WAN addresses. The only strange things here seems to be your DNS, that is usually not the same server as your GateWay.
On the other side you might also be in the situation common in many dormitories where your "provider" is your landlord or home management office and you get the IPs from the local network assigned to your personally. Since you mention using the router this seems to be the address assigned to your router, not to your private PC. In this case you can just connect as many clients to your router as you want, both using cable or wirelessly and they all will use the shared line for Internet connection.
You don't have to configure your clients beforehand, rather you better activate the DHCP service on your router so that the latter will automatically distribute the available IP address pool to your clients and manage those (having certain expriration time etc.).