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Finding the Third Proportional to 101,180 and 222,187

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Solution

The third proportional to 101,180 and 222,187 is: 487,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,180 : 222,187 = 222,187 : x
  2. Step 2: Convert to fraction form
    101,180/222,187 = 222,187/x
  3. Step 3: Cross multiply
    101,180x = 222,187 × 222,187
  4. Step 4: Simplify right side
    101,180x = 49,367,062,969
  5. Step 5: Solve for x
    x = 49,367,062,969/101,180
  6. Step 6: Final answer
    x = 487,913.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.