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Finding the Third Proportional to 113,954,869 and 231,936,976

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Solution

The third proportional to 113,954,869 and 231,936,976 is: 472,070,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,954,869 : 231,936,976 = 231,936,976 : x
  2. Step 2: Convert to fraction form
    113,954,869/231,936,976 = 231,936,976/x
  3. Step 3: Cross multiply
    113,954,869x = 231,936,976 × 231,936,976
  4. Step 4: Simplify right side
    113,954,869x = 53,794,760,836,024,576
  5. Step 5: Solve for x
    x = 53,794,760,836,024,576/113,954,869
  6. Step 6: Final answer
    x = 472,070,753.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.