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Finding the Third Proportional to 40,401.19 and 85,908.56

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Solution

The third proportional to 40,401.19 and 85,908.56 is: 182,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,401.19 : 85,908.56 = 85,908.56 : x
  2. Step 2: Convert to fraction form
    40,401.19/85,908.56 = 85,908.56/x
  3. Step 3: Cross multiply
    40,401.19x = 85,908.56 × 85,908.56
  4. Step 4: Simplify right side
    40,401.19x = 7,380,281,110.82
  5. Step 5: Solve for x
    x = 7,380,281,110.82/40,401.19
  6. Step 6: Final answer
    x = 182,674.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.