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Finding the Third Proportional to 96,562.13 and 209,202.75

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Solution

The third proportional to 96,562.13 and 209,202.75 is: 453,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,562.13 : 209,202.75 = 209,202.75 : x
  2. Step 2: Convert to fraction form
    96,562.13/209,202.75 = 209,202.75/x
  3. Step 3: Cross multiply
    96,562.13x = 209,202.75 × 209,202.75
  4. Step 4: Simplify right side
    96,562.13x = 43,765,790,607.56
  5. Step 5: Solve for x
    x = 43,765,790,607.56/96,562.13
  6. Step 6: Final answer
    x = 453,239.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.