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Finding the Third Proportional to 99,847 and 213,734

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Solution

The third proportional to 99,847 and 213,734 is: 457,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,847 : 213,734 = 213,734 : x
  2. Step 2: Convert to fraction form
    99,847/213,734 = 213,734/x
  3. Step 3: Cross multiply
    99,847x = 213,734 × 213,734
  4. Step 4: Simplify right side
    99,847x = 45,682,222,756
  5. Step 5: Solve for x
    x = 45,682,222,756/99,847
  6. Step 6: Final answer
    x = 457,522.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.