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Finding the Third Proportional to 91,249.50 and 195,399

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Solution

The third proportional to 91,249.50 and 195,399 is: 418,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,249.50 : 195,399 = 195,399 : x
  2. Step 2: Convert to fraction form
    91,249.50/195,399 = 195,399/x
  3. Step 3: Cross multiply
    91,249.50x = 195,399 × 195,399
  4. Step 4: Simplify right side
    91,249.50x = 38,180,769,201
  5. Step 5: Solve for x
    x = 38,180,769,201/91,249.50
  6. Step 6: Final answer
    x = 418,421.68

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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.