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Finding the Third Proportional to 38,890.13 and 91,067.63

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Solution

The third proportional to 38,890.13 and 91,067.63 is: 213,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,890.13 : 91,067.63 = 91,067.63 : x
  2. Step 2: Convert to fraction form
    38,890.13/91,067.63 = 91,067.63/x
  3. Step 3: Cross multiply
    38,890.13x = 91,067.63 × 91,067.63
  4. Step 4: Simplify right side
    38,890.13x = 8,293,312,323.14
  5. Step 5: Solve for x
    x = 8,293,312,323.14/38,890.13
  6. Step 6: Final answer
    x = 213,249.82

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.