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Finding the Third Proportional to 113,954,871 and 231,936,980

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Solution

The third proportional to 113,954,871 and 231,936,980 is: 472,070,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,954,871 : 231,936,980 = 231,936,980 : x
  2. Step 2: Convert to fraction form
    113,954,871/231,936,980 = 231,936,980/x
  3. Step 3: Cross multiply
    113,954,871x = 231,936,980 × 231,936,980
  4. Step 4: Simplify right side
    113,954,871x = 53,794,762,691,520,400
  5. Step 5: Solve for x
    x = 53,794,762,691,520,400/113,954,871
  6. Step 6: Final answer
    x = 472,070,761.17

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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.