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Finding the Third Proportional to 45,456 and 98,800

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Solution

The third proportional to 45,456 and 98,800 is: 214,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,456 : 98,800 = 98,800 : x
  2. Step 2: Convert to fraction form
    45,456/98,800 = 98,800/x
  3. Step 3: Cross multiply
    45,456x = 98,800 × 98,800
  4. Step 4: Simplify right side
    45,456x = 9,761,440,000
  5. Step 5: Solve for x
    x = 9,761,440,000/45,456
  6. Step 6: Final answer
    x = 214,744.81

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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.