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Finding the Third Proportional to 75,978,144 and 154,639,170

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Solution

The third proportional to 75,978,144 and 154,639,170 is: 314,738,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978,144 : 154,639,170 = 154,639,170 : x
  2. Step 2: Convert to fraction form
    75,978,144/154,639,170 = 154,639,170/x
  3. Step 3: Cross multiply
    75,978,144x = 154,639,170 × 154,639,170
  4. Step 4: Simplify right side
    75,978,144x = 23,913,272,898,288,900
  5. Step 5: Solve for x
    x = 23,913,272,898,288,900/75,978,144
  6. Step 6: Final answer
    x = 314,738,839.87

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.