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Finding the Third Proportional to 97,116.47 and 141,949.97

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Solution

The third proportional to 97,116.47 and 141,949.97 is: 207,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,116.47 : 141,949.97 = 141,949.97 : x
  2. Step 2: Convert to fraction form
    97,116.47/141,949.97 = 141,949.97/x
  3. Step 3: Cross multiply
    97,116.47x = 141,949.97 × 141,949.97
  4. Step 4: Simplify right side
    97,116.47x = 20,149,793,628.13
  5. Step 5: Solve for x
    x = 20,149,793,628.13/97,116.47
  6. Step 6: Final answer
    x = 207,480.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.