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Finding the Third Proportional to 96.42 and 208.43

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Solution

The third proportional to 96.42 and 208.43 is: 450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 208.43 = 208.43 : x
  2. Step 2: Convert to fraction form
    96.42/208.43 = 208.43/x
  3. Step 3: Cross multiply
    96.42x = 208.43 × 208.43
  4. Step 4: Simplify right side
    96.42x = 43,444.16
  5. Step 5: Solve for x
    x = 43,444.16/96.42
  6. Step 6: Final answer
    x = 450.55

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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.