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Finding the Third Proportional to 95,866 and 201,366

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Solution

The third proportional to 95,866 and 201,366 is: 422,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,866 : 201,366 = 201,366 : x
  2. Step 2: Convert to fraction form
    95,866/201,366 = 201,366/x
  3. Step 3: Cross multiply
    95,866x = 201,366 × 201,366
  4. Step 4: Simplify right side
    95,866x = 40,548,265,956
  5. Step 5: Solve for x
    x = 40,548,265,956/95,866
  6. Step 6: Final answer
    x = 422,968.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.