This is the 1735th most frequent Russian word.
государственным
"State-owned" or "governmental."
The word 'государственные' modifies 'услуги', referring to services provided by the government or state.
Эта организация предоставляет государственные услуги.
This organization provides state services.
The word 'государственном' indicates that the institution is run or owned by the government.
Он работает в государственном учреждении.
He works in a state institution.
Here, 'Государственным' emphasizes that the decision was sanctioned through official state authority.