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Finding the Third Proportional to 99,002.25 and 231,012

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Solution

The third proportional to 99,002.25 and 231,012 is: 539,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,002.25 : 231,012 = 231,012 : x
  2. Step 2: Convert to fraction form
    99,002.25/231,012 = 231,012/x
  3. Step 3: Cross multiply
    99,002.25x = 231,012 × 231,012
  4. Step 4: Simplify right side
    99,002.25x = 53,366,544,144
  5. Step 5: Solve for x
    x = 53,366,544,144/99,002.25
  6. Step 6: Final answer
    x = 539,043.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.