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Finding the Third Proportional to 101,207 and 222,098

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Solution

The third proportional to 101,207 and 222,098 is: 487,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,207 : 222,098 = 222,098 : x
  2. Step 2: Convert to fraction form
    101,207/222,098 = 222,098/x
  3. Step 3: Cross multiply
    101,207x = 222,098 × 222,098
  4. Step 4: Simplify right side
    101,207x = 49,327,521,604
  5. Step 5: Solve for x
    x = 49,327,521,604/101,207
  6. Step 6: Final answer
    x = 487,392.39

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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.