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Finding the Third Proportional to 104,102,422 and 226,125,644

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Solution

The third proportional to 104,102,422 and 226,125,644 is: 491,177,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,102,422 : 226,125,644 = 226,125,644 : x
  2. Step 2: Convert to fraction form
    104,102,422/226,125,644 = 226,125,644/x
  3. Step 3: Cross multiply
    104,102,422x = 226,125,644 × 226,125,644
  4. Step 4: Simplify right side
    104,102,422x = 51,132,806,874,414,736
  5. Step 5: Solve for x
    x = 51,132,806,874,414,736/104,102,422
  6. Step 6: Final answer
    x = 491,177,879.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.