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Finding the Third Proportional to 41,691.94 and 92,709.56

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Solution

The third proportional to 41,691.94 and 92,709.56 is: 206,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,691.94 : 92,709.56 = 92,709.56 : x
  2. Step 2: Convert to fraction form
    41,691.94/92,709.56 = 92,709.56/x
  3. Step 3: Cross multiply
    41,691.94x = 92,709.56 × 92,709.56
  4. Step 4: Simplify right side
    41,691.94x = 8,595,062,978.94
  5. Step 5: Solve for x
    x = 8,595,062,978.94/41,691.94
  6. Step 6: Final answer
    x = 206,156.48

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.