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Finding the Third Proportional to 108,564.19 and 239,214.38

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Solution

The third proportional to 108,564.19 and 239,214.38 is: 527,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,564.19 : 239,214.38 = 239,214.38 : x
  2. Step 2: Convert to fraction form
    108,564.19/239,214.38 = 239,214.38/x
  3. Step 3: Cross multiply
    108,564.19x = 239,214.38 × 239,214.38
  4. Step 4: Simplify right side
    108,564.19x = 57,223,517,206.64
  5. Step 5: Solve for x
    x = 57,223,517,206.64/108,564.19
  6. Step 6: Final answer
    x = 527,093.87

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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.