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Finding the Third Proportional to 93,542 and 198,769

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Solution

The third proportional to 93,542 and 198,769 is: 422,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,542 : 198,769 = 198,769 : x
  2. Step 2: Convert to fraction form
    93,542/198,769 = 198,769/x
  3. Step 3: Cross multiply
    93,542x = 198,769 × 198,769
  4. Step 4: Simplify right side
    93,542x = 39,509,115,361
  5. Step 5: Solve for x
    x = 39,509,115,361/93,542
  6. Step 6: Final answer
    x = 422,367.66

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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.