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Finding the Third Proportional to 47.46 and 99.14

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Solution

The third proportional to 47.46 and 99.14 is: 207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.46 : 99.14 = 99.14 : x
  2. Step 2: Convert to fraction form
    47.46/99.14 = 99.14/x
  3. Step 3: Cross multiply
    47.46x = 99.14 × 99.14
  4. Step 4: Simplify right side
    47.46x = 9,828.86
  5. Step 5: Solve for x
    x = 9,828.86/47.46
  6. Step 6: Final answer
    x = 207.09

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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.