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Finding the Third Proportional to 101,294 and 222,027

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Solution

The third proportional to 101,294 and 222,027 is: 486,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,294 : 222,027 = 222,027 : x
  2. Step 2: Convert to fraction form
    101,294/222,027 = 222,027/x
  3. Step 3: Cross multiply
    101,294x = 222,027 × 222,027
  4. Step 4: Simplify right side
    101,294x = 49,295,988,729
  5. Step 5: Solve for x
    x = 49,295,988,729/101,294
  6. Step 6: Final answer
    x = 486,662.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.