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Finding the Third Proportional to 99,321,909.75 and 231,986,980.13

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Solution

The third proportional to 99,321,909.75 and 231,986,980.13 is: 541,853,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,321,909.75 : 231,986,980.13 = 231,986,980.13 : x
  2. Step 2: Convert to fraction form
    99,321,909.75/231,986,980.13 = 231,986,980.13/x
  3. Step 3: Cross multiply
    99,321,909.75x = 231,986,980.13 × 231,986,980.13
  4. Step 4: Simplify right side
    99,321,909.75x = 53,817,958,947,517,144
  5. Step 5: Solve for x
    x = 53,817,958,947,517,144/99,321,909.75
  6. Step 6: Final answer
    x = 541,853,847.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.