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Finding the Third Proportional to 46.92 and 101.09

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Solution

The third proportional to 46.92 and 101.09 is: 217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.92 : 101.09 = 101.09 : x
  2. Step 2: Convert to fraction form
    46.92/101.09 = 101.09/x
  3. Step 3: Cross multiply
    46.92x = 101.09 × 101.09
  4. Step 4: Simplify right side
    46.92x = 10,218.37
  5. Step 5: Solve for x
    x = 10,218.37/46.92
  6. Step 6: Final answer
    x = 217.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.