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Finding the Third Proportional to 205,034,874 and 449,015,836

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Solution

The third proportional to 205,034,874 and 449,015,836 is: 983,321,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034,874 : 449,015,836 = 449,015,836 : x
  2. Step 2: Convert to fraction form
    205,034,874/449,015,836 = 449,015,836/x
  3. Step 3: Cross multiply
    205,034,874x = 449,015,836 × 449,015,836
  4. Step 4: Simplify right side
    205,034,874x = 201,615,220,978,778,880
  5. Step 5: Solve for x
    x = 201,615,220,978,778,880/205,034,874
  6. Step 6: Final answer
    x = 983,321,603.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.