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Finding the Third Proportional to 97.31 and 209.81

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Solution

The third proportional to 97.31 and 209.81 is: 452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.31 : 209.81 = 209.81 : x
  2. Step 2: Convert to fraction form
    97.31/209.81 = 209.81/x
  3. Step 3: Cross multiply
    97.31x = 209.81 × 209.81
  4. Step 4: Simplify right side
    97.31x = 44,021.29
  5. Step 5: Solve for x
    x = 44,021.29/97.31
  6. Step 6: Final answer
    x = 452.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.