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Finding the Third Proportional to 103,027 and 213,947

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Solution

The third proportional to 103,027 and 213,947 is: 444,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,027 : 213,947 = 213,947 : x
  2. Step 2: Convert to fraction form
    103,027/213,947 = 213,947/x
  3. Step 3: Cross multiply
    103,027x = 213,947 × 213,947
  4. Step 4: Simplify right side
    103,027x = 45,773,318,809
  5. Step 5: Solve for x
    x = 45,773,318,809/103,027
  6. Step 6: Final answer
    x = 444,284.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.