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Finding the Third Proportional to 205,531,284 and 479,589,557

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Solution

The third proportional to 205,531,284 and 479,589,557 is: 1,119,080,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,531,284 : 479,589,557 = 479,589,557 : x
  2. Step 2: Convert to fraction form
    205,531,284/479,589,557 = 479,589,557/x
  3. Step 3: Cross multiply
    205,531,284x = 479,589,557 × 479,589,557
  4. Step 4: Simplify right side
    205,531,284x = 230,006,143,183,456,256
  5. Step 5: Solve for x
    x = 230,006,143,183,456,256/205,531,284
  6. Step 6: Final answer
    x = 1,119,080,943.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.