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Finding the Third Proportional to 97.66 and 209.67

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Solution

The third proportional to 97.66 and 209.67 is: 450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.66 : 209.67 = 209.67 : x
  2. Step 2: Convert to fraction form
    97.66/209.67 = 209.67/x
  3. Step 3: Cross multiply
    97.66x = 209.67 × 209.67
  4. Step 4: Simplify right side
    97.66x = 43,962.30
  5. Step 5: Solve for x
    x = 43,962.30/97.66
  6. Step 6: Final answer
    x = 450.14

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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.