atha - therefore; asmat - our; amśa-bhūtāḥ - plenary expansions; te - your; ātmajāḥ - sons; loka-viśrutāḥ - very famous in the world; bhavitāraḥ - in the future will be born; aṅga - dear great sage; bhadram - all good fortune; te - unto you; visrapsyanti - will spread; ca - also; te - your; yaśaḥ - reputation.

You will have sons who will represent a partial manifestation of our potency, and because we desire all good fortune for you, those sons will glorify your reputation throughout the world.