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Finding the Third Proportional to 103,052 and 213,996

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Solution

The third proportional to 103,052 and 213,996 is: 444,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,052 : 213,996 = 213,996 : x
  2. Step 2: Convert to fraction form
    103,052/213,996 = 213,996/x
  3. Step 3: Cross multiply
    103,052x = 213,996 × 213,996
  4. Step 4: Simplify right side
    103,052x = 45,794,288,016
  5. Step 5: Solve for x
    x = 45,794,288,016/103,052
  6. Step 6: Final answer
    x = 444,380.39

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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.