Finding the Third Proportional to 202,765,992 and 416,281,200
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Solution
The third proportional to 202,765,992 and 416,281,200 is: 854,630,679.26
Step by Step Solution
- Step 1: Write the proportion equation
202,765,992 : 416,281,200 = 416,281,200 : x - Step 2: Convert to fraction form
202,765,992/416,281,200 = 416,281,200/x - Step 3: Cross multiply
202,765,992x = 416,281,200 × 416,281,200 - Step 4: Simplify right side
202,765,992x = 173,290,037,473,440,000 - Step 5: Solve for x
x = 173,290,037,473,440,000/202,765,992 - Step 6: Final answer
x = 854,630,679.26
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.