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Finding the Third Proportional to 96,571 and 201,966

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Solution

The third proportional to 96,571 and 201,966 is: 422,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,571 : 201,966 = 201,966 : x
  2. Step 2: Convert to fraction form
    96,571/201,966 = 201,966/x
  3. Step 3: Cross multiply
    96,571x = 201,966 × 201,966
  4. Step 4: Simplify right side
    96,571x = 40,790,265,156
  5. Step 5: Solve for x
    x = 40,790,265,156/96,571
  6. Step 6: Final answer
    x = 422,386.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.