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Finding the Third Proportional to 101,337.50 and 219,981

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Solution

The third proportional to 101,337.50 and 219,981 is: 477,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,337.50 : 219,981 = 219,981 : x
  2. Step 2: Convert to fraction form
    101,337.50/219,981 = 219,981/x
  3. Step 3: Cross multiply
    101,337.50x = 219,981 × 219,981
  4. Step 4: Simplify right side
    101,337.50x = 48,391,640,361
  5. Step 5: Solve for x
    x = 48,391,640,361/101,337.50
  6. Step 6: Final answer
    x = 477,529.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.