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Finding the Third Proportional to 47.22 and 99.22

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Solution

The third proportional to 47.22 and 99.22 is: 208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.22 : 99.22 = 99.22 : x
  2. Step 2: Convert to fraction form
    47.22/99.22 = 99.22/x
  3. Step 3: Cross multiply
    47.22x = 99.22 × 99.22
  4. Step 4: Simplify right side
    47.22x = 9,844.36
  5. Step 5: Solve for x
    x = 9,844.36/47.22
  6. Step 6: Final answer
    x = 208.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.