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Finding the Third Proportional to 218,960,289 and 306,119,898

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Solution

The third proportional to 218,960,289 and 306,119,898 is: 427,974,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,960,289 : 306,119,898 = 306,119,898 : x
  2. Step 2: Convert to fraction form
    218,960,289/306,119,898 = 306,119,898/x
  3. Step 3: Cross multiply
    218,960,289x = 306,119,898 × 306,119,898
  4. Step 4: Simplify right side
    218,960,289x = 93,709,391,951,530,400
  5. Step 5: Solve for x
    x = 93,709,391,951,530,400/218,960,289
  6. Step 6: Final answer
    x = 427,974,370.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.