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Finding the Third Proportional to 92,093.20 and 203,542.88

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Solution

The third proportional to 92,093.20 and 203,542.88 is: 449,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,093.20 : 203,542.88 = 203,542.88 : x
  2. Step 2: Convert to fraction form
    92,093.20/203,542.88 = 203,542.88/x
  3. Step 3: Cross multiply
    92,093.20x = 203,542.88 × 203,542.88
  4. Step 4: Simplify right side
    92,093.20x = 41,429,701,963.27
  5. Step 5: Solve for x
    x = 41,429,701,963.27/92,093.20
  6. Step 6: Final answer
    x = 449,867.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.