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Finding the Third Proportional to 94,793.63 and 204,757.88

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Solution

The third proportional to 94,793.63 and 204,757.88 is: 442,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,793.63 : 204,757.88 = 204,757.88 : x
  2. Step 2: Convert to fraction form
    94,793.63/204,757.88 = 204,757.88/x
  3. Step 3: Cross multiply
    94,793.63x = 204,757.88 × 204,757.88
  4. Step 4: Simplify right side
    94,793.63x = 41,925,787,374.52
  5. Step 5: Solve for x
    x = 41,925,787,374.52/94,793.63
  6. Step 6: Final answer
    x = 442,284.88

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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.