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Finding the Third Proportional to 93,793 and 205,375

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Solution

The third proportional to 93,793 and 205,375 is: 449,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,793 : 205,375 = 205,375 : x
  2. Step 2: Convert to fraction form
    93,793/205,375 = 205,375/x
  3. Step 3: Cross multiply
    93,793x = 205,375 × 205,375
  4. Step 4: Simplify right side
    93,793x = 42,178,890,625
  5. Step 5: Solve for x
    x = 42,178,890,625/93,793
  6. Step 6: Final answer
    x = 449,701.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.