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Finding the Third Proportional to 94,467 and 199,598

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Solution

The third proportional to 94,467 and 199,598 is: 421,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,467 : 199,598 = 199,598 : x
  2. Step 2: Convert to fraction form
    94,467/199,598 = 199,598/x
  3. Step 3: Cross multiply
    94,467x = 199,598 × 199,598
  4. Step 4: Simplify right side
    94,467x = 39,839,361,604
  5. Step 5: Solve for x
    x = 39,839,361,604/94,467
  6. Step 6: Final answer
    x = 421,727.82

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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.