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Finding the Third Proportional to 99,874.50 and 218,406.75

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Solution

The third proportional to 99,874.50 and 218,406.75 is: 477,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,874.50 : 218,406.75 = 218,406.75 : x
  2. Step 2: Convert to fraction form
    99,874.50/218,406.75 = 218,406.75/x
  3. Step 3: Cross multiply
    99,874.50x = 218,406.75 × 218,406.75
  4. Step 4: Simplify right side
    99,874.50x = 47,701,508,445.56
  5. Step 5: Solve for x
    x = 47,701,508,445.56/99,874.50
  6. Step 6: Final answer
    x = 477,614.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.