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Finding the Third Proportional to 101,680.31 and 154,593.56

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Solution

The third proportional to 101,680.31 and 154,593.56 is: 235,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,680.31 : 154,593.56 = 154,593.56 : x
  2. Step 2: Convert to fraction form
    101,680.31/154,593.56 = 154,593.56/x
  3. Step 3: Cross multiply
    101,680.31x = 154,593.56 × 154,593.56
  4. Step 4: Simplify right side
    101,680.31x = 23,899,169,566.44
  5. Step 5: Solve for x
    x = 23,899,169,566.44/101,680.31
  6. Step 6: Final answer
    x = 235,042.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.