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Finding the Third Proportional to 96,118.31 and 147,942.56

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Solution

The third proportional to 96,118.31 and 147,942.56 is: 227,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,118.31 : 147,942.56 = 147,942.56 : x
  2. Step 2: Convert to fraction form
    96,118.31/147,942.56 = 147,942.56/x
  3. Step 3: Cross multiply
    96,118.31x = 147,942.56 × 147,942.56
  4. Step 4: Simplify right side
    96,118.31x = 21,887,001,799.07
  5. Step 5: Solve for x
    x = 21,887,001,799.07/96,118.31
  6. Step 6: Final answer
    x = 227,708.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.