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Finding the Third Proportional to 41,778.28 and 91,483.17

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Solution

The third proportional to 41,778.28 and 91,483.17 is: 200,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,778.28 : 91,483.17 = 91,483.17 : x
  2. Step 2: Convert to fraction form
    41,778.28/91,483.17 = 91,483.17/x
  3. Step 3: Cross multiply
    41,778.28x = 91,483.17 × 91,483.17
  4. Step 4: Simplify right side
    41,778.28x = 8,369,170,736.31
  5. Step 5: Solve for x
    x = 8,369,170,736.31/41,778.28
  6. Step 6: Final answer
    x = 200,323.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.