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Finding the Third Proportional to 92,956.78 and 200,672.44

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Solution

The third proportional to 92,956.78 and 200,672.44 is: 433,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,956.78 : 200,672.44 = 200,672.44 : x
  2. Step 2: Convert to fraction form
    92,956.78/200,672.44 = 200,672.44/x
  3. Step 3: Cross multiply
    92,956.78x = 200,672.44 × 200,672.44
  4. Step 4: Simplify right side
    92,956.78x = 40,269,427,172.19
  5. Step 5: Solve for x
    x = 40,269,427,172.19/92,956.78
  6. Step 6: Final answer
    x = 433,205.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.