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Finding the Third Proportional to 149,649,816 and 321,577,856

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Solution

The third proportional to 149,649,816 and 321,577,856 is: 691,028,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,649,816 : 321,577,856 = 321,577,856 : x
  2. Step 2: Convert to fraction form
    149,649,816/321,577,856 = 321,577,856/x
  3. Step 3: Cross multiply
    149,649,816x = 321,577,856 × 321,577,856
  4. Step 4: Simplify right side
    149,649,816x = 103,412,317,469,556,736
  5. Step 5: Solve for x
    x = 103,412,317,469,556,736/149,649,816
  6. Step 6: Final answer
    x = 691,028,697.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.