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Finding the Third Proportional to 96.31 and 202.75

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Solution

The third proportional to 96.31 and 202.75 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.31 : 202.75 = 202.75 : x
  2. Step 2: Convert to fraction form
    96.31/202.75 = 202.75/x
  3. Step 3: Cross multiply
    96.31x = 202.75 × 202.75
  4. Step 4: Simplify right side
    96.31x = 41,107.56
  5. Step 5: Solve for x
    x = 41,107.56/96.31
  6. Step 6: Final answer
    x = 426.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.