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Finding the Third Proportional to 113,954,875 and 231,936,989

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Solution

The third proportional to 113,954,875 and 231,936,989 is: 472,070,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,954,875 : 231,936,989 = 231,936,989 : x
  2. Step 2: Convert to fraction form
    113,954,875/231,936,989 = 231,936,989/x
  3. Step 3: Cross multiply
    113,954,875x = 231,936,989 × 231,936,989
  4. Step 4: Simplify right side
    113,954,875x = 53,794,766,866,386,120
  5. Step 5: Solve for x
    x = 53,794,766,866,386,120/113,954,875
  6. Step 6: Final answer
    x = 472,070,781.23

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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.