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Finding the Third Proportional to 92,279.25 and 200,566.13

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Solution

The third proportional to 92,279.25 and 200,566.13 is: 435,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,279.25 : 200,566.13 = 200,566.13 : x
  2. Step 2: Convert to fraction form
    92,279.25/200,566.13 = 200,566.13/x
  3. Step 3: Cross multiply
    92,279.25x = 200,566.13 × 200,566.13
  4. Step 4: Simplify right side
    92,279.25x = 40,226,770,497.52
  5. Step 5: Solve for x
    x = 40,226,770,497.52/92,279.25
  6. Step 6: Final answer
    x = 435,924.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.