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Finding the Third Proportional to 77,882,544 and 166,189,261

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Solution

The third proportional to 77,882,544 and 166,189,261 is: 354,622,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,544 : 166,189,261 = 166,189,261 : x
  2. Step 2: Convert to fraction form
    77,882,544/166,189,261 = 166,189,261/x
  3. Step 3: Cross multiply
    77,882,544x = 166,189,261 × 166,189,261
  4. Step 4: Simplify right side
    77,882,544x = 27,618,870,471,726,120
  5. Step 5: Solve for x
    x = 27,618,870,471,726,120/77,882,544
  6. Step 6: Final answer
    x = 354,622,089.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.