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Finding the Third Proportional to 99,906.75 and 209,049.75

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Solution

The third proportional to 99,906.75 and 209,049.75 is: 437,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,906.75 : 209,049.75 = 209,049.75 : x
  2. Step 2: Convert to fraction form
    99,906.75/209,049.75 = 209,049.75/x
  3. Step 3: Cross multiply
    99,906.75x = 209,049.75 × 209,049.75
  4. Step 4: Simplify right side
    99,906.75x = 43,701,797,975.06
  5. Step 5: Solve for x
    x = 43,701,797,975.06/99,906.75
  6. Step 6: Final answer
    x = 437,425.88

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.