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Finding the Third Proportional to 96,344.44 and 136,945.69

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Solution

The third proportional to 96,344.44 and 136,945.69 is: 194,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,344.44 : 136,945.69 = 136,945.69 : x
  2. Step 2: Convert to fraction form
    96,344.44/136,945.69 = 136,945.69/x
  3. Step 3: Cross multiply
    96,344.44x = 136,945.69 × 136,945.69
  4. Step 4: Simplify right side
    96,344.44x = 18,754,121,324.85
  5. Step 5: Solve for x
    x = 18,754,121,324.85/96,344.44
  6. Step 6: Final answer
    x = 194,657.02

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.