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Finding the Third Proportional to 99,023.25 and 213,829.13

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Solution

The third proportional to 99,023.25 and 213,829.13 is: 461,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,023.25 : 213,829.13 = 213,829.13 : x
  2. Step 2: Convert to fraction form
    99,023.25/213,829.13 = 213,829.13/x
  3. Step 3: Cross multiply
    99,023.25x = 213,829.13 × 213,829.13
  4. Step 4: Simplify right side
    99,023.25x = 45,722,894,698.27
  5. Step 5: Solve for x
    x = 45,722,894,698.27/99,023.25
  6. Step 6: Final answer
    x = 461,738.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.