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Finding the Third Proportional to 42,238.13 and 91,776.38

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Solution

The third proportional to 42,238.13 and 91,776.38 is: 199,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,238.13 : 91,776.38 = 91,776.38 : x
  2. Step 2: Convert to fraction form
    42,238.13/91,776.38 = 91,776.38/x
  3. Step 3: Cross multiply
    42,238.13x = 91,776.38 × 91,776.38
  4. Step 4: Simplify right side
    42,238.13x = 8,422,903,008.14
  5. Step 5: Solve for x
    x = 8,422,903,008.14/42,238.13
  6. Step 6: Final answer
    x = 199,414.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.