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Finding the Third Proportional to 95.98 and 197.65

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Solution

The third proportional to 95.98 and 197.65 is: 407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.98 : 197.65 = 197.65 : x
  2. Step 2: Convert to fraction form
    95.98/197.65 = 197.65/x
  3. Step 3: Cross multiply
    95.98x = 197.65 × 197.65
  4. Step 4: Simplify right side
    95.98x = 39,064.90
  5. Step 5: Solve for x
    x = 39,064.90/95.98
  6. Step 6: Final answer
    x = 407.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.