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Finding the Third Proportional to 101,293,229 and 206,166,226

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Solution

The third proportional to 101,293,229 and 206,166,226 is: 419,618,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,293,229 : 206,166,226 = 206,166,226 : x
  2. Step 2: Convert to fraction form
    101,293,229/206,166,226 = 206,166,226/x
  3. Step 3: Cross multiply
    101,293,229x = 206,166,226 × 206,166,226
  4. Step 4: Simplify right side
    101,293,229x = 42,504,512,743,083,072
  5. Step 5: Solve for x
    x = 42,504,512,743,083,072/101,293,229
  6. Step 6: Final answer
    x = 419,618,499.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.