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Finding the Third Proportional to 92,571 and 199,206

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Solution

The third proportional to 92,571 and 199,206 is: 428,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,571 : 199,206 = 199,206 : x
  2. Step 2: Convert to fraction form
    92,571/199,206 = 199,206/x
  3. Step 3: Cross multiply
    92,571x = 199,206 × 199,206
  4. Step 4: Simplify right side
    92,571x = 39,683,030,436
  5. Step 5: Solve for x
    x = 39,683,030,436/92,571
  6. Step 6: Final answer
    x = 428,676.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.