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Finding the Third Proportional to 93,540 and 198,766

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Solution

The third proportional to 93,540 and 198,766 is: 422,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,540 : 198,766 = 198,766 : x
  2. Step 2: Convert to fraction form
    93,540/198,766 = 198,766/x
  3. Step 3: Cross multiply
    93,540x = 198,766 × 198,766
  4. Step 4: Simplify right side
    93,540x = 39,507,922,756
  5. Step 5: Solve for x
    x = 39,507,922,756/93,540
  6. Step 6: Final answer
    x = 422,363.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.