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Finding the Third Proportional to 96.82 and 210.73

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Solution

The third proportional to 96.82 and 210.73 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.82 : 210.73 = 210.73 : x
  2. Step 2: Convert to fraction form
    96.82/210.73 = 210.73/x
  3. Step 3: Cross multiply
    96.82x = 210.73 × 210.73
  4. Step 4: Simplify right side
    96.82x = 44,405.68
  5. Step 5: Solve for x
    x = 44,405.68/96.82
  6. Step 6: Final answer
    x = 458.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.