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Finding the Third Proportional to 103.69 and 196.06

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Solution

The third proportional to 103.69 and 196.06 is: 370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.69 : 196.06 = 196.06 : x
  2. Step 2: Convert to fraction form
    103.69/196.06 = 196.06/x
  3. Step 3: Cross multiply
    103.69x = 196.06 × 196.06
  4. Step 4: Simplify right side
    103.69x = 38,440.50
  5. Step 5: Solve for x
    x = 38,440.50/103.69
  6. Step 6: Final answer
    x = 370.73

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.