'Designated' in the Bible

So Aaron approached the altar and killed the calf as the sin offering, which was designated for himself.

You will arise and have compassion on Zion,For it is time to be gracious and show favor to her;Yes, the appointed time [the moment designated] has come.

I [the Lord] have commanded My consecrated ones,I have even called My great warriors,My proudly exulting ones [the Medes and the Persians who triumph for My honor]—To execute My anger.