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Finding the Third Proportional to 81,197,983 and 166,700,517

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Solution

The third proportional to 81,197,983 and 166,700,517 is: 342,238,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,983 : 166,700,517 = 166,700,517 : x
  2. Step 2: Convert to fraction form
    81,197,983/166,700,517 = 166,700,517/x
  3. Step 3: Cross multiply
    81,197,983x = 166,700,517 × 166,700,517
  4. Step 4: Simplify right side
    81,197,983x = 27,789,062,368,067,288
  5. Step 5: Solve for x
    x = 27,789,062,368,067,288/81,197,983
  6. Step 6: Final answer
    x = 342,238,333.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.