Finding the Third Proportional to 199,432,966 and 306,353,454
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Solution
The third proportional to 199,432,966 and 306,353,454 is: 470,596,414.73
Step by Step Solution
- Step 1: Write the proportion equation
199,432,966 : 306,353,454 = 306,353,454 : x - Step 2: Convert to fraction form
199,432,966/306,353,454 = 306,353,454/x - Step 3: Cross multiply
199,432,966x = 306,353,454 × 306,353,454 - Step 4: Simplify right side
199,432,966x = 93,852,438,777,730,112 - Step 5: Solve for x
x = 93,852,438,777,730,112/199,432,966 - Step 6: Final answer
x = 470,596,414.73
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.