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Finding the Third Proportional to 92,605 and 199,016

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Solution

The third proportional to 92,605 and 199,016 is: 427,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,605 : 199,016 = 199,016 : x
  2. Step 2: Convert to fraction form
    92,605/199,016 = 199,016/x
  3. Step 3: Cross multiply
    92,605x = 199,016 × 199,016
  4. Step 4: Simplify right side
    92,605x = 39,607,368,256
  5. Step 5: Solve for x
    x = 39,607,368,256/92,605
  6. Step 6: Final answer
    x = 427,702.27

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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.