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Finding the Third Proportional to 40,187.81 and 85,912.31

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Solution

The third proportional to 40,187.81 and 85,912.31 is: 183,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,187.81 : 85,912.31 = 85,912.31 : x
  2. Step 2: Convert to fraction form
    40,187.81/85,912.31 = 85,912.31/x
  3. Step 3: Cross multiply
    40,187.81x = 85,912.31 × 85,912.31
  4. Step 4: Simplify right side
    40,187.81x = 7,380,925,439.10
  5. Step 5: Solve for x
    x = 7,380,925,439.10/40,187.81
  6. Step 6: Final answer
    x = 183,660.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.