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Finding the Third Proportional to 87,102.38 and 190,812.75

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Solution

The third proportional to 87,102.38 and 190,812.75 is: 418,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,102.38 : 190,812.75 = 190,812.75 : x
  2. Step 2: Convert to fraction form
    87,102.38/190,812.75 = 190,812.75/x
  3. Step 3: Cross multiply
    87,102.38x = 190,812.75 × 190,812.75
  4. Step 4: Simplify right side
    87,102.38x = 36,409,505,562.56
  5. Step 5: Solve for x
    x = 36,409,505,562.56/87,102.38
  6. Step 6: Final answer
    x = 418,008.18

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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.