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Finding the Third Proportional to 92,514.66 and 199,305.56

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Solution

The third proportional to 92,514.66 and 199,305.56 is: 429,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,514.66 : 199,305.56 = 199,305.56 : x
  2. Step 2: Convert to fraction form
    92,514.66/199,305.56 = 199,305.56/x
  3. Step 3: Cross multiply
    92,514.66x = 199,305.56 × 199,305.56
  4. Step 4: Simplify right side
    92,514.66x = 39,722,707,243.44
  5. Step 5: Solve for x
    x = 39,722,707,243.44/92,514.66
  6. Step 6: Final answer
    x = 429,366.64

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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.