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Finding the Third Proportional to 46.97 and 97.17

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Solution

The third proportional to 46.97 and 97.17 is: 201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.97 : 97.17 = 97.17 : x
  2. Step 2: Convert to fraction form
    46.97/97.17 = 97.17/x
  3. Step 3: Cross multiply
    46.97x = 97.17 × 97.17
  4. Step 4: Simplify right side
    46.97x = 9,442.37
  5. Step 5: Solve for x
    x = 9,442.37/46.97
  6. Step 6: Final answer
    x = 201.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.