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Finding the Third Proportional to 31,615.31 and 68,808.19

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Solution

The third proportional to 31,615.31 and 68,808.19 is: 149,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.31 : 68,808.19 = 68,808.19 : x
  2. Step 2: Convert to fraction form
    31,615.31/68,808.19 = 68,808.19/x
  3. Step 3: Cross multiply
    31,615.31x = 68,808.19 × 68,808.19
  4. Step 4: Simplify right side
    31,615.31x = 4,734,566,667.04
  5. Step 5: Solve for x
    x = 4,734,566,667.04/31,615.31
  6. Step 6: Final answer
    x = 149,755.49

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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.