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Finding the Third Proportional to 108,564.75 and 239,215.13

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Solution

The third proportional to 108,564.75 and 239,215.13 is: 527,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,564.75 : 239,215.13 = 239,215.13 : x
  2. Step 2: Convert to fraction form
    108,564.75/239,215.13 = 239,215.13/x
  3. Step 3: Cross multiply
    108,564.75x = 239,215.13 × 239,215.13
  4. Step 4: Simplify right side
    108,564.75x = 57,223,876,028.77
  5. Step 5: Solve for x
    x = 57,223,876,028.77/108,564.75
  6. Step 6: Final answer
    x = 527,094.44

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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.