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Finding the Third Proportional to 96.40 and 207.77

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Solution

The third proportional to 96.40 and 207.77 is: 447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.40 : 207.77 = 207.77 : x
  2. Step 2: Convert to fraction form
    96.40/207.77 = 207.77/x
  3. Step 3: Cross multiply
    96.40x = 207.77 × 207.77
  4. Step 4: Simplify right side
    96.40x = 43,169.80
  5. Step 5: Solve for x
    x = 43,169.80/96.40
  6. Step 6: Final answer
    x = 447.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.