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Finding the Third Proportional to 131,639,409 and 283,508,082

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Solution

The third proportional to 131,639,409 and 283,508,082 is: 610,583,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,639,409 : 283,508,082 = 283,508,082 : x
  2. Step 2: Convert to fraction form
    131,639,409/283,508,082 = 283,508,082/x
  3. Step 3: Cross multiply
    131,639,409x = 283,508,082 × 283,508,082
  4. Step 4: Simplify right side
    131,639,409x = 80,376,832,559,318,720
  5. Step 5: Solve for x
    x = 80,376,832,559,318,720/131,639,409
  6. Step 6: Final answer
    x = 610,583,359.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.