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Finding the Third Proportional to 51,902,180 and 110,512,982

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Solution

The third proportional to 51,902,180 and 110,512,982 is: 235,310,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,902,180 : 110,512,982 = 110,512,982 : x
  2. Step 2: Convert to fraction form
    51,902,180/110,512,982 = 110,512,982/x
  3. Step 3: Cross multiply
    51,902,180x = 110,512,982 × 110,512,982
  4. Step 4: Simplify right side
    51,902,180x = 12,213,119,190,532,324
  5. Step 5: Solve for x
    x = 12,213,119,190,532,324/51,902,180
  6. Step 6: Final answer
    x = 235,310,331.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.