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Finding the Third Proportional to 93,998 and 198,474

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Solution

The third proportional to 93,998 and 198,474 is: 419,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,998 : 198,474 = 198,474 : x
  2. Step 2: Convert to fraction form
    93,998/198,474 = 198,474/x
  3. Step 3: Cross multiply
    93,998x = 198,474 × 198,474
  4. Step 4: Simplify right side
    93,998x = 39,391,928,676
  5. Step 5: Solve for x
    x = 39,391,928,676/93,998
  6. Step 6: Final answer
    x = 419,071.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.