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Finding the Third Proportional to 87,644.11 and 191,964.09

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Solution

The third proportional to 87,644.11 and 191,964.09 is: 420,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,644.11 : 191,964.09 = 191,964.09 : x
  2. Step 2: Convert to fraction form
    87,644.11/191,964.09 = 191,964.09/x
  3. Step 3: Cross multiply
    87,644.11x = 191,964.09 × 191,964.09
  4. Step 4: Simplify right side
    87,644.11x = 36,850,213,289.26
  5. Step 5: Solve for x
    x = 36,850,213,289.26/87,644.11
  6. Step 6: Final answer
    x = 420,452.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.