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Finding the Third Proportional to 205,314,383 and 427,611,874

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Solution

The third proportional to 205,314,383 and 427,611,874 is: 890,594,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314,383 : 427,611,874 = 427,611,874 : x
  2. Step 2: Convert to fraction form
    205,314,383/427,611,874 = 427,611,874/x
  3. Step 3: Cross multiply
    205,314,383x = 427,611,874 × 427,611,874
  4. Step 4: Simplify right side
    205,314,383x = 182,851,914,785,791,872
  5. Step 5: Solve for x
    x = 182,851,914,785,791,872/205,314,383
  6. Step 6: Final answer
    x = 890,594,765.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.