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Finding the Third Proportional to 31,180.89 and 68,397.86

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Solution

The third proportional to 31,180.89 and 68,397.86 is: 150,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180.89 : 68,397.86 = 68,397.86 : x
  2. Step 2: Convert to fraction form
    31,180.89/68,397.86 = 68,397.86/x
  3. Step 3: Cross multiply
    31,180.89x = 68,397.86 × 68,397.86
  4. Step 4: Simplify right side
    31,180.89x = 4,678,266,632.72
  5. Step 5: Solve for x
    x = 4,678,266,632.72/31,180.89
  6. Step 6: Final answer
    x = 150,036.36

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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.