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Finding the Third Proportional to 108,813.38 and 239,693.63

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Solution

The third proportional to 108,813.38 and 239,693.63 is: 527,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,813.38 : 239,693.63 = 239,693.63 : x
  2. Step 2: Convert to fraction form
    108,813.38/239,693.63 = 239,693.63/x
  3. Step 3: Cross multiply
    108,813.38x = 239,693.63 × 239,693.63
  4. Step 4: Simplify right side
    108,813.38x = 57,453,033,865.64
  5. Step 5: Solve for x
    x = 57,453,033,865.64/108,813.38
  6. Step 6: Final answer
    x = 527,996.07

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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.