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Finding the Third Proportional to 45,331 and 99,723

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Solution

The third proportional to 45,331 and 99,723 is: 219,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,331 : 99,723 = 99,723 : x
  2. Step 2: Convert to fraction form
    45,331/99,723 = 99,723/x
  3. Step 3: Cross multiply
    45,331x = 99,723 × 99,723
  4. Step 4: Simplify right side
    45,331x = 9,944,676,729
  5. Step 5: Solve for x
    x = 9,944,676,729/45,331
  6. Step 6: Final answer
    x = 219,379.16

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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.