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Finding the Third Proportional to 103,402.13 and 227,755.13

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Solution

The third proportional to 103,402.13 and 227,755.13 is: 501,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,402.13 : 227,755.13 = 227,755.13 : x
  2. Step 2: Convert to fraction form
    103,402.13/227,755.13 = 227,755.13/x
  3. Step 3: Cross multiply
    103,402.13x = 227,755.13 × 227,755.13
  4. Step 4: Simplify right side
    103,402.13x = 51,872,396,963.77
  5. Step 5: Solve for x
    x = 51,872,396,963.77/103,402.13
  6. Step 6: Final answer
    x = 501,656.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.