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Finding the Third Proportional to 31,186.13 and 68,352.19

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Solution

The third proportional to 31,186.13 and 68,352.19 is: 149,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.13 : 68,352.19 = 68,352.19 : x
  2. Step 2: Convert to fraction form
    31,186.13/68,352.19 = 68,352.19/x
  3. Step 3: Cross multiply
    31,186.13x = 68,352.19 × 68,352.19
  4. Step 4: Simplify right side
    31,186.13x = 4,672,021,536.04
  5. Step 5: Solve for x
    x = 4,672,021,536.04/31,186.13
  6. Step 6: Final answer
    x = 149,810.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.