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Finding the Third Proportional to 84,186 and 196,701

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Solution

The third proportional to 84,186 and 196,701 is: 459,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,186 : 196,701 = 196,701 : x
  2. Step 2: Convert to fraction form
    84,186/196,701 = 196,701/x
  3. Step 3: Cross multiply
    84,186x = 196,701 × 196,701
  4. Step 4: Simplify right side
    84,186x = 38,691,283,401
  5. Step 5: Solve for x
    x = 38,691,283,401/84,186
  6. Step 6: Final answer
    x = 459,592.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.