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Finding the Third Proportional to 103.94 and 212.97

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Solution

The third proportional to 103.94 and 212.97 is: 436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.94 : 212.97 = 212.97 : x
  2. Step 2: Convert to fraction form
    103.94/212.97 = 212.97/x
  3. Step 3: Cross multiply
    103.94x = 212.97 × 212.97
  4. Step 4: Simplify right side
    103.94x = 45,355.69
  5. Step 5: Solve for x
    x = 45,355.69/103.94
  6. Step 6: Final answer
    x = 436.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.