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Finding the Third Proportional to 96.40 and 209.88

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Solution

The third proportional to 96.40 and 209.88 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.40 : 209.88 = 209.88 : x
  2. Step 2: Convert to fraction form
    96.40/209.88 = 209.88/x
  3. Step 3: Cross multiply
    96.40x = 209.88 × 209.88
  4. Step 4: Simplify right side
    96.40x = 44,050.79
  5. Step 5: Solve for x
    x = 44,050.79/96.40
  6. Step 6: Final answer
    x = 456.97

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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.