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Finding the Third Proportional to 104,233,512 and 229,022,880

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Solution

The third proportional to 104,233,512 and 229,022,880 is: 503,211,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,233,512 : 229,022,880 = 229,022,880 : x
  2. Step 2: Convert to fraction form
    104,233,512/229,022,880 = 229,022,880/x
  3. Step 3: Cross multiply
    104,233,512x = 229,022,880 × 229,022,880
  4. Step 4: Simplify right side
    104,233,512x = 52,451,479,563,494,400
  5. Step 5: Solve for x
    x = 52,451,479,563,494,400/104,233,512
  6. Step 6: Final answer
    x = 503,211,285.48

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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.