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Finding the Third Proportional to 100,488,667.50 and 217,671,459

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Solution

The third proportional to 100,488,667.50 and 217,671,459 is: 471,504,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,488,667.50 : 217,671,459 = 217,671,459 : x
  2. Step 2: Convert to fraction form
    100,488,667.50/217,671,459 = 217,671,459/x
  3. Step 3: Cross multiply
    100,488,667.50x = 217,671,459 × 217,671,459
  4. Step 4: Simplify right side
    100,488,667.50x = 47,380,864,063,188,680
  5. Step 5: Solve for x
    x = 47,380,864,063,188,680/100,488,667.50
  6. Step 6: Final answer
    x = 471,504,551.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.