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Finding the Third Proportional to 205,499,352 and 281,795,052

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Solution

The third proportional to 205,499,352 and 281,795,052 is: 386,417,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,499,352 : 281,795,052 = 281,795,052 : x
  2. Step 2: Convert to fraction form
    205,499,352/281,795,052 = 281,795,052/x
  3. Step 3: Cross multiply
    205,499,352x = 281,795,052 × 281,795,052
  4. Step 4: Simplify right side
    205,499,352x = 79,408,451,331,682,704
  5. Step 5: Solve for x
    x = 79,408,451,331,682,704/205,499,352
  6. Step 6: Final answer
    x = 386,417,040.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.