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Finding the Third Proportional to 129,975,381 and 201,904,609.50

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Solution

The third proportional to 129,975,381 and 201,904,609.50 is: 313,639,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,975,381 : 201,904,609.50 = 201,904,609.50 : x
  2. Step 2: Convert to fraction form
    129,975,381/201,904,609.50 = 201,904,609.50/x
  3. Step 3: Cross multiply
    129,975,381x = 201,904,609.50 × 201,904,609.50
  4. Step 4: Simplify right side
    129,975,381x = 40,765,471,337,347,488
  5. Step 5: Solve for x
    x = 40,765,471,337,347,488/129,975,381
  6. Step 6: Final answer
    x = 313,639,944.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.