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Finding the Third Proportional to 103,690 and 213,923

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Solution

The third proportional to 103,690 and 213,923 is: 441,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 213,923 = 213,923 : x
  2. Step 2: Convert to fraction form
    103,690/213,923 = 213,923/x
  3. Step 3: Cross multiply
    103,690x = 213,923 × 213,923
  4. Step 4: Simplify right side
    103,690x = 45,763,049,929
  5. Step 5: Solve for x
    x = 45,763,049,929/103,690
  6. Step 6: Final answer
    x = 441,344.87

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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.