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Finding the Third Proportional to 47.22 and 100.14

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Solution

The third proportional to 47.22 and 100.14 is: 212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.22 : 100.14 = 100.14 : x
  2. Step 2: Convert to fraction form
    47.22/100.14 = 100.14/x
  3. Step 3: Cross multiply
    47.22x = 100.14 × 100.14
  4. Step 4: Simplify right side
    47.22x = 10,028.54
  5. Step 5: Solve for x
    x = 10,028.54/47.22
  6. Step 6: Final answer
    x = 212.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.