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Finding the Third Proportional to 113,954,874 and 231,936,987

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Solution

The third proportional to 113,954,874 and 231,936,987 is: 472,070,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,954,874 : 231,936,987 = 231,936,987 : x
  2. Step 2: Convert to fraction form
    113,954,874/231,936,987 = 231,936,987/x
  3. Step 3: Cross multiply
    113,954,874x = 231,936,987 × 231,936,987
  4. Step 4: Simplify right side
    113,954,874x = 53,794,765,938,638,168
  5. Step 5: Solve for x
    x = 53,794,765,938,638,168/113,954,874
  6. Step 6: Final answer
    x = 472,070,777.23

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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.