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Finding the Third Proportional to 103,671 and 222,502

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Solution

The third proportional to 103,671 and 222,502 is: 477,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,671 : 222,502 = 222,502 : x
  2. Step 2: Convert to fraction form
    103,671/222,502 = 222,502/x
  3. Step 3: Cross multiply
    103,671x = 222,502 × 222,502
  4. Step 4: Simplify right side
    103,671x = 49,507,140,004
  5. Step 5: Solve for x
    x = 49,507,140,004/103,671
  6. Step 6: Final answer
    x = 477,540.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.