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Finding the Third Proportional to 160,992,086 and 251,054,049

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Solution

The third proportional to 160,992,086 and 251,054,049 is: 391,498,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,992,086 : 251,054,049 = 251,054,049 : x
  2. Step 2: Convert to fraction form
    160,992,086/251,054,049 = 251,054,049/x
  3. Step 3: Cross multiply
    160,992,086x = 251,054,049 × 251,054,049
  4. Step 4: Simplify right side
    160,992,086x = 63,028,135,519,294,400
  5. Step 5: Solve for x
    x = 63,028,135,519,294,400/160,992,086
  6. Step 6: Final answer
    x = 391,498,346.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.