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Finding the Third Proportional to 93,647 and 204,811

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Solution

The third proportional to 93,647 and 204,811 is: 447,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,647 : 204,811 = 204,811 : x
  2. Step 2: Convert to fraction form
    93,647/204,811 = 204,811/x
  3. Step 3: Cross multiply
    93,647x = 204,811 × 204,811
  4. Step 4: Simplify right side
    93,647x = 41,947,545,721
  5. Step 5: Solve for x
    x = 41,947,545,721/93,647
  6. Step 6: Final answer
    x = 447,932.62

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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.