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Finding the Third Proportional to 102,864 and 211,872

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Solution

The third proportional to 102,864 and 211,872 is: 436,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,864 : 211,872 = 211,872 : x
  2. Step 2: Convert to fraction form
    102,864/211,872 = 211,872/x
  3. Step 3: Cross multiply
    102,864x = 211,872 × 211,872
  4. Step 4: Simplify right side
    102,864x = 44,889,744,384
  5. Step 5: Solve for x
    x = 44,889,744,384/102,864
  6. Step 6: Final answer
    x = 436,398.98

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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.