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Finding the Third Proportional to 87,854 and 191,608

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Solution

The third proportional to 87,854 and 191,608 is: 417,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,854 : 191,608 = 191,608 : x
  2. Step 2: Convert to fraction form
    87,854/191,608 = 191,608/x
  3. Step 3: Cross multiply
    87,854x = 191,608 × 191,608
  4. Step 4: Simplify right side
    87,854x = 36,713,625,664
  5. Step 5: Solve for x
    x = 36,713,625,664/87,854
  6. Step 6: Final answer
    x = 417,893.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.