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Finding the Third Proportional to 95.94 and 208.19

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Solution

The third proportional to 95.94 and 208.19 is: 451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.94 : 208.19 = 208.19 : x
  2. Step 2: Convert to fraction form
    95.94/208.19 = 208.19/x
  3. Step 3: Cross multiply
    95.94x = 208.19 × 208.19
  4. Step 4: Simplify right side
    95.94x = 43,342.04
  5. Step 5: Solve for x
    x = 43,342.04/95.94
  6. Step 6: Final answer
    x = 451.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.