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Finding the Third Proportional to 103,119 and 223,626

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Solution

The third proportional to 103,119 and 223,626 is: 484,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,119 : 223,626 = 223,626 : x
  2. Step 2: Convert to fraction form
    103,119/223,626 = 223,626/x
  3. Step 3: Cross multiply
    103,119x = 223,626 × 223,626
  4. Step 4: Simplify right side
    103,119x = 50,008,587,876
  5. Step 5: Solve for x
    x = 50,008,587,876/103,119
  6. Step 6: Final answer
    x = 484,959.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.