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Finding the Third Proportional to 94,743 and 203,823

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Solution

The third proportional to 94,743 and 203,823 is: 438,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,743 : 203,823 = 203,823 : x
  2. Step 2: Convert to fraction form
    94,743/203,823 = 203,823/x
  3. Step 3: Cross multiply
    94,743x = 203,823 × 203,823
  4. Step 4: Simplify right side
    94,743x = 41,543,815,329
  5. Step 5: Solve for x
    x = 41,543,815,329/94,743
  6. Step 6: Final answer
    x = 438,489.55

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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.