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Finding the Third Proportional to 96.82 and 203.61

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Solution

The third proportional to 96.82 and 203.61 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.82 : 203.61 = 203.61 : x
  2. Step 2: Convert to fraction form
    96.82/203.61 = 203.61/x
  3. Step 3: Cross multiply
    96.82x = 203.61 × 203.61
  4. Step 4: Simplify right side
    96.82x = 41,455.98
  5. Step 5: Solve for x
    x = 41,455.98/96.82
  6. Step 6: Final answer
    x = 428.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.