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Finding the Third Proportional to 41,769.42 and 91,159.17

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Solution

The third proportional to 41,769.42 and 91,159.17 is: 198,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,769.42 : 91,159.17 = 91,159.17 : x
  2. Step 2: Convert to fraction form
    41,769.42/91,159.17 = 91,159.17/x
  3. Step 3: Cross multiply
    41,769.42x = 91,159.17 × 91,159.17
  4. Step 4: Simplify right side
    41,769.42x = 8,309,994,616.94
  5. Step 5: Solve for x
    x = 8,309,994,616.94/41,769.42
  6. Step 6: Final answer
    x = 198,949.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.