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Finding the Third Proportional to 99,506 and 217,912

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Solution

The third proportional to 99,506 and 217,912 is: 477,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,506 : 217,912 = 217,912 : x
  2. Step 2: Convert to fraction form
    99,506/217,912 = 217,912/x
  3. Step 3: Cross multiply
    99,506x = 217,912 × 217,912
  4. Step 4: Simplify right side
    99,506x = 47,485,639,744
  5. Step 5: Solve for x
    x = 47,485,639,744/99,506
  6. Step 6: Final answer
    x = 477,213.83

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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.