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Finding the Third Proportional to 87,905.25 and 192,349.69

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Solution

The third proportional to 87,905.25 and 192,349.69 is: 420,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,905.25 : 192,349.69 = 192,349.69 : x
  2. Step 2: Convert to fraction form
    87,905.25/192,349.69 = 192,349.69/x
  3. Step 3: Cross multiply
    87,905.25x = 192,349.69 × 192,349.69
  4. Step 4: Simplify right side
    87,905.25x = 36,998,402,281.35
  5. Step 5: Solve for x
    x = 36,998,402,281.35/87,905.25
  6. Step 6: Final answer
    x = 420,889.56

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Why These Related Problems?

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