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Finding the Third Proportional to 77,882,523 and 166,189,219

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Solution

The third proportional to 77,882,523 and 166,189,219 is: 354,622,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,523 : 166,189,219 = 166,189,219 : x
  2. Step 2: Convert to fraction form
    77,882,523/166,189,219 = 166,189,219/x
  3. Step 3: Cross multiply
    77,882,523x = 166,189,219 × 166,189,219
  4. Step 4: Simplify right side
    77,882,523x = 27,618,856,511,829,960
  5. Step 5: Solve for x
    x = 27,618,856,511,829,960/77,882,523
  6. Step 6: Final answer
    x = 354,622,005.66

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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.