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Finding the Third Proportional to 40,606.31 and 97,822.69

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Solution

The third proportional to 40,606.31 and 97,822.69 is: 235,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,606.31 : 97,822.69 = 97,822.69 : x
  2. Step 2: Convert to fraction form
    40,606.31/97,822.69 = 97,822.69/x
  3. Step 3: Cross multiply
    40,606.31x = 97,822.69 × 97,822.69
  4. Step 4: Simplify right side
    40,606.31x = 9,569,278,189.72
  5. Step 5: Solve for x
    x = 9,569,278,189.72/40,606.31
  6. Step 6: Final answer
    x = 235,659.87

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.