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Finding the Third Proportional to 119,686,857 and 181,943,520

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Solution

The third proportional to 119,686,857 and 181,943,520 is: 276,583,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,686,857 : 181,943,520 = 181,943,520 : x
  2. Step 2: Convert to fraction form
    119,686,857/181,943,520 = 181,943,520/x
  3. Step 3: Cross multiply
    119,686,857x = 181,943,520 × 181,943,520
  4. Step 4: Simplify right side
    119,686,857x = 33,103,444,469,990,400
  5. Step 5: Solve for x
    x = 33,103,444,469,990,400/119,686,857
  6. Step 6: Final answer
    x = 276,583,789.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.