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Finding the Third Proportional to 97,072.50 and 198,849

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Solution

The third proportional to 97,072.50 and 198,849 is: 407,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,072.50 : 198,849 = 198,849 : x
  2. Step 2: Convert to fraction form
    97,072.50/198,849 = 198,849/x
  3. Step 3: Cross multiply
    97,072.50x = 198,849 × 198,849
  4. Step 4: Simplify right side
    97,072.50x = 39,540,924,801
  5. Step 5: Solve for x
    x = 39,540,924,801/97,072.50
  6. Step 6: Final answer
    x = 407,333.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.