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Finding the Third Proportional to 96.47 and 207.84

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Solution

The third proportional to 96.47 and 207.84 is: 447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.47 : 207.84 = 207.84 : x
  2. Step 2: Convert to fraction form
    96.47/207.84 = 207.84/x
  3. Step 3: Cross multiply
    96.47x = 207.84 × 207.84
  4. Step 4: Simplify right side
    96.47x = 43,199.02
  5. Step 5: Solve for x
    x = 43,199.02/96.47
  6. Step 6: Final answer
    x = 447.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.