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Finding the Third Proportional to 93,917 and 203,758

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Solution

The third proportional to 93,917 and 203,758 is: 442,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,917 : 203,758 = 203,758 : x
  2. Step 2: Convert to fraction form
    93,917/203,758 = 203,758/x
  3. Step 3: Cross multiply
    93,917x = 203,758 × 203,758
  4. Step 4: Simplify right side
    93,917x = 41,517,322,564
  5. Step 5: Solve for x
    x = 41,517,322,564/93,917
  6. Step 6: Final answer
    x = 442,063.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.