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Finding the Third Proportional to 99,141.47 and 209,584.97

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Solution

The third proportional to 99,141.47 and 209,584.97 is: 443,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,141.47 : 209,584.97 = 209,584.97 : x
  2. Step 2: Convert to fraction form
    99,141.47/209,584.97 = 209,584.97/x
  3. Step 3: Cross multiply
    99,141.47x = 209,584.97 × 209,584.97
  4. Step 4: Simplify right side
    99,141.47x = 43,925,859,125.94
  5. Step 5: Solve for x
    x = 43,925,859,125.94/99,141.47
  6. Step 6: Final answer
    x = 443,062.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.