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Finding the Third Proportional to 46.13 and 100.69

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Solution

The third proportional to 46.13 and 100.69 is: 219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.13 : 100.69 = 100.69 : x
  2. Step 2: Convert to fraction form
    46.13/100.69 = 100.69/x
  3. Step 3: Cross multiply
    46.13x = 100.69 × 100.69
  4. Step 4: Simplify right side
    46.13x = 10,137.97
  5. Step 5: Solve for x
    x = 10,137.97/46.13
  6. Step 6: Final answer
    x = 219.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.