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Finding the Third Proportional to 103,682 and 213,907

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Solution

The third proportional to 103,682 and 213,907 is: 441,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 213,907 = 213,907 : x
  2. Step 2: Convert to fraction form
    103,682/213,907 = 213,907/x
  3. Step 3: Cross multiply
    103,682x = 213,907 × 213,907
  4. Step 4: Simplify right side
    103,682x = 45,756,204,649
  5. Step 5: Solve for x
    x = 45,756,204,649/103,682
  6. Step 6: Final answer
    x = 441,312.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.