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Finding the Third Proportional to 64,649,119 and 143,647,144

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Solution

The third proportional to 64,649,119 and 143,647,144 is: 319,176,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,649,119 : 143,647,144 = 143,647,144 : x
  2. Step 2: Convert to fraction form
    64,649,119/143,647,144 = 143,647,144/x
  3. Step 3: Cross multiply
    64,649,119x = 143,647,144 × 143,647,144
  4. Step 4: Simplify right side
    64,649,119x = 20,634,501,979,356,736
  5. Step 5: Solve for x
    x = 20,634,501,979,356,736/64,649,119
  6. Step 6: Final answer
    x = 319,176,847.24

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.