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Finding the Third Proportional to 90,487.13 and 192,991.36

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Solution

The third proportional to 90,487.13 and 192,991.36 is: 411,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,487.13 : 192,991.36 = 192,991.36 : x
  2. Step 2: Convert to fraction form
    90,487.13/192,991.36 = 192,991.36/x
  3. Step 3: Cross multiply
    90,487.13x = 192,991.36 × 192,991.36
  4. Step 4: Simplify right side
    90,487.13x = 37,245,664,793.41
  5. Step 5: Solve for x
    x = 37,245,664,793.41/90,487.13
  6. Step 6: Final answer
    x = 411,612.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.