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Finding the Third Proportional to 103,697 and 211,766

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Solution

The third proportional to 103,697 and 211,766 is: 432,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 211,766 = 211,766 : x
  2. Step 2: Convert to fraction form
    103,697/211,766 = 211,766/x
  3. Step 3: Cross multiply
    103,697x = 211,766 × 211,766
  4. Step 4: Simplify right side
    103,697x = 44,844,838,756
  5. Step 5: Solve for x
    x = 44,844,838,756/103,697
  6. Step 6: Final answer
    x = 432,460.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.