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Finding the Third Proportional to 91,863.50 and 196,849

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Solution

The third proportional to 91,863.50 and 196,849 is: 421,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,863.50 : 196,849 = 196,849 : x
  2. Step 2: Convert to fraction form
    91,863.50/196,849 = 196,849/x
  3. Step 3: Cross multiply
    91,863.50x = 196,849 × 196,849
  4. Step 4: Simplify right side
    91,863.50x = 38,749,528,801
  5. Step 5: Solve for x
    x = 38,749,528,801/91,863.50
  6. Step 6: Final answer
    x = 421,816.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.