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Finding the Third Proportional to 77,882,519 and 166,189,211

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Solution

The third proportional to 77,882,519 and 166,189,211 is: 354,621,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,519 : 166,189,211 = 166,189,211 : x
  2. Step 2: Convert to fraction form
    77,882,519/166,189,211 = 166,189,211/x
  3. Step 3: Cross multiply
    77,882,519x = 166,189,211 × 166,189,211
  4. Step 4: Simplify right side
    77,882,519x = 27,618,853,852,802,520
  5. Step 5: Solve for x
    x = 27,618,853,852,802,520/77,882,519
  6. Step 6: Final answer
    x = 354,621,989.73

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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.