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Finding the Third Proportional to 96.03 and 208.31

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Solution

The third proportional to 96.03 and 208.31 is: 451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.03 : 208.31 = 208.31 : x
  2. Step 2: Convert to fraction form
    96.03/208.31 = 208.31/x
  3. Step 3: Cross multiply
    96.03x = 208.31 × 208.31
  4. Step 4: Simplify right side
    96.03x = 43,394.10
  5. Step 5: Solve for x
    x = 43,394.10/96.03
  6. Step 6: Final answer
    x = 451.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.