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Finding the Third Proportional to 97.69 and 207.38

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Solution

The third proportional to 97.69 and 207.38 is: 440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.69 : 207.38 = 207.38 : x
  2. Step 2: Convert to fraction form
    97.69/207.38 = 207.38/x
  3. Step 3: Cross multiply
    97.69x = 207.38 × 207.38
  4. Step 4: Simplify right side
    97.69x = 43,004.39
  5. Step 5: Solve for x
    x = 43,004.39/97.69
  6. Step 6: Final answer
    x = 440.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.