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Finding the Third Proportional to 77,882,550 and 166,189,274

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Solution

The third proportional to 77,882,550 and 166,189,274 is: 354,622,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,550 : 166,189,274 = 166,189,274 : x
  2. Step 2: Convert to fraction form
    77,882,550/166,189,274 = 166,189,274/x
  3. Step 3: Cross multiply
    77,882,550x = 166,189,274 × 166,189,274
  4. Step 4: Simplify right side
    77,882,550x = 27,618,874,792,647,076
  5. Step 5: Solve for x
    x = 27,618,874,792,647,076/77,882,550
  6. Step 6: Final answer
    x = 354,622,117.44

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Why These Related Problems?

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