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Finding the Third Proportional to 92,700 and 199,377

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Solution

The third proportional to 92,700 and 199,377 is: 428,815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,700 : 199,377 = 199,377 : x
  2. Step 2: Convert to fraction form
    92,700/199,377 = 199,377/x
  3. Step 3: Cross multiply
    92,700x = 199,377 × 199,377
  4. Step 4: Simplify right side
    92,700x = 39,751,188,129
  5. Step 5: Solve for x
    x = 39,751,188,129/92,700
  6. Step 6: Final answer
    x = 428,815.41

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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.