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Finding the Third Proportional to 103,644 and 219,744

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Solution

The third proportional to 103,644 and 219,744 is: 465,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,644 : 219,744 = 219,744 : x
  2. Step 2: Convert to fraction form
    103,644/219,744 = 219,744/x
  3. Step 3: Cross multiply
    103,644x = 219,744 × 219,744
  4. Step 4: Simplify right side
    103,644x = 48,287,425,536
  5. Step 5: Solve for x
    x = 48,287,425,536/103,644
  6. Step 6: Final answer
    x = 465,896.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.