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Finding the Third Proportional to 107,336 and 211,965

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Solution

The third proportional to 107,336 and 211,965 is: 418,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,336 : 211,965 = 211,965 : x
  2. Step 2: Convert to fraction form
    107,336/211,965 = 211,965/x
  3. Step 3: Cross multiply
    107,336x = 211,965 × 211,965
  4. Step 4: Simplify right side
    107,336x = 44,929,161,225
  5. Step 5: Solve for x
    x = 44,929,161,225/107,336
  6. Step 6: Final answer
    x = 418,584.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.