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Finding the Third Proportional to 110,997.84 and 244,137.80

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Solution

The third proportional to 110,997.84 and 244,137.80 is: 536,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,997.84 : 244,137.80 = 244,137.80 : x
  2. Step 2: Convert to fraction form
    110,997.84/244,137.80 = 244,137.80/x
  3. Step 3: Cross multiply
    110,997.84x = 244,137.80 × 244,137.80
  4. Step 4: Simplify right side
    110,997.84x = 59,603,263,862.98
  5. Step 5: Solve for x
    x = 59,603,263,862.98/110,997.84
  6. Step 6: Final answer
    x = 536,976.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.