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Finding the Third Proportional to 96.46 and 208.41

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Solution

The third proportional to 96.46 and 208.41 is: 450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.46 : 208.41 = 208.41 : x
  2. Step 2: Convert to fraction form
    96.46/208.41 = 208.41/x
  3. Step 3: Cross multiply
    96.46x = 208.41 × 208.41
  4. Step 4: Simplify right side
    96.46x = 43,435.91
  5. Step 5: Solve for x
    x = 43,435.91/96.46
  6. Step 6: Final answer
    x = 450.28

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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.