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Finding the Third Proportional to 41,509.97 and 89,067.09

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Solution

The third proportional to 41,509.97 and 89,067.09 is: 191,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.97 : 89,067.09 = 89,067.09 : x
  2. Step 2: Convert to fraction form
    41,509.97/89,067.09 = 89,067.09/x
  3. Step 3: Cross multiply
    41,509.97x = 89,067.09 × 89,067.09
  4. Step 4: Simplify right side
    41,509.97x = 7,932,947,189.07
  5. Step 5: Solve for x
    x = 7,932,947,189.07/41,509.97
  6. Step 6: Final answer
    x = 191,109.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.