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Finding the Third Proportional to 47.29 and 98.86

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Solution

The third proportional to 47.29 and 98.86 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.29 : 98.86 = 98.86 : x
  2. Step 2: Convert to fraction form
    47.29/98.86 = 98.86/x
  3. Step 3: Cross multiply
    47.29x = 98.86 × 98.86
  4. Step 4: Simplify right side
    47.29x = 9,773.18
  5. Step 5: Solve for x
    x = 9,773.18/47.29
  6. Step 6: Final answer
    x = 206.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.