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Finding the Third Proportional to 45,396 and 99,744

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Solution

The third proportional to 45,396 and 99,744 is: 219,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,396 : 99,744 = 99,744 : x
  2. Step 2: Convert to fraction form
    45,396/99,744 = 99,744/x
  3. Step 3: Cross multiply
    45,396x = 99,744 × 99,744
  4. Step 4: Simplify right side
    45,396x = 9,948,865,536
  5. Step 5: Solve for x
    x = 9,948,865,536/45,396
  6. Step 6: Final answer
    x = 219,157.32

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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.