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Finding the Third Proportional to 104,777,676 and 220,414,068

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Solution

The third proportional to 104,777,676 and 220,414,068 is: 463,670,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,777,676 : 220,414,068 = 220,414,068 : x
  2. Step 2: Convert to fraction form
    104,777,676/220,414,068 = 220,414,068/x
  3. Step 3: Cross multiply
    104,777,676x = 220,414,068 × 220,414,068
  4. Step 4: Simplify right side
    104,777,676x = 48,582,361,372,308,624
  5. Step 5: Solve for x
    x = 48,582,361,372,308,624/104,777,676
  6. Step 6: Final answer
    x = 463,670,919.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.