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Finding the Third Proportional to 208,077,878 and 452,785,839

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Solution

The third proportional to 208,077,878 and 452,785,839 is: 985,280,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,077,878 : 452,785,839 = 452,785,839 : x
  2. Step 2: Convert to fraction form
    208,077,878/452,785,839 = 452,785,839/x
  3. Step 3: Cross multiply
    208,077,878x = 452,785,839 × 452,785,839
  4. Step 4: Simplify right side
    208,077,878x = 205,015,015,998,933,920
  5. Step 5: Solve for x
    x = 205,015,015,998,933,920/208,077,878
  6. Step 6: Final answer
    x = 985,280,213.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.