The Orioles responded to the challenge well, outscoring the Cardinals 22-5 in the third quarter and emerging with a big 63-49 victory.
Calvin Hackert led the third-quarter surge for Ludington by knocking down three 3-pointers.
Hackert led the Orioles with 25 points while Noah Laman added 16.
Demetri Martin had 28 points for Big Rapids.
Ludington, now 19-2, will play Manistee on Wednesday in the district semifinals.