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Finding the Third Proportional to 83,351 and 196,637

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Solution

The third proportional to 83,351 and 196,637 is: 463,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,351 : 196,637 = 196,637 : x
  2. Step 2: Convert to fraction form
    83,351/196,637 = 196,637/x
  3. Step 3: Cross multiply
    83,351x = 196,637 × 196,637
  4. Step 4: Simplify right side
    83,351x = 38,666,109,769
  5. Step 5: Solve for x
    x = 38,666,109,769/83,351
  6. Step 6: Final answer
    x = 463,894.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.