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Finding the Third Proportional to 45,800 and 100,456

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Solution

The third proportional to 45,800 and 100,456 is: 220,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,800 : 100,456 = 100,456 : x
  2. Step 2: Convert to fraction form
    45,800/100,456 = 100,456/x
  3. Step 3: Cross multiply
    45,800x = 100,456 × 100,456
  4. Step 4: Simplify right side
    45,800x = 10,091,407,936
  5. Step 5: Solve for x
    x = 10,091,407,936/45,800
  6. Step 6: Final answer
    x = 220,336.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.