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Finding the Third Proportional to 108,562.78 and 239,212.13

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Solution

The third proportional to 108,562.78 and 239,212.13 is: 527,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,562.78 : 239,212.13 = 239,212.13 : x
  2. Step 2: Convert to fraction form
    108,562.78/239,212.13 = 239,212.13/x
  3. Step 3: Cross multiply
    108,562.78x = 239,212.13 × 239,212.13
  4. Step 4: Simplify right side
    108,562.78x = 57,222,440,747.02
  5. Step 5: Solve for x
    x = 57,222,440,747.02/108,562.78
  6. Step 6: Final answer
    x = 527,090.78

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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.