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Finding the Third Proportional to 99,089 and 217,861

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Solution

The third proportional to 99,089 and 217,861 is: 478,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,089 : 217,861 = 217,861 : x
  2. Step 2: Convert to fraction form
    99,089/217,861 = 217,861/x
  3. Step 3: Cross multiply
    99,089x = 217,861 × 217,861
  4. Step 4: Simplify right side
    99,089x = 47,463,415,321
  5. Step 5: Solve for x
    x = 47,463,415,321/99,089
  6. Step 6: Final answer
    x = 478,997.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.