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Finding the Third Proportional to 97,105.50 and 198,909

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Solution

The third proportional to 97,105.50 and 198,909 is: 407,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,105.50 : 198,909 = 198,909 : x
  2. Step 2: Convert to fraction form
    97,105.50/198,909 = 198,909/x
  3. Step 3: Cross multiply
    97,105.50x = 198,909 × 198,909
  4. Step 4: Simplify right side
    97,105.50x = 39,564,790,281
  5. Step 5: Solve for x
    x = 39,564,790,281/97,105.50
  6. Step 6: Final answer
    x = 407,441.29

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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.