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Finding the Third Proportional to 95,142.09 and 209,116.69

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Solution

The third proportional to 95,142.09 and 209,116.69 is: 459,626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,142.09 : 209,116.69 = 209,116.69 : x
  2. Step 2: Convert to fraction form
    95,142.09/209,116.69 = 209,116.69/x
  3. Step 3: Cross multiply
    95,142.09x = 209,116.69 × 209,116.69
  4. Step 4: Simplify right side
    95,142.09x = 43,729,788,990.97
  5. Step 5: Solve for x
    x = 43,729,788,990.97/95,142.09
  6. Step 6: Final answer
    x = 459,626.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.