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Finding the Third Proportional to 184,561,261 and 269,835,012

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Solution

The third proportional to 184,561,261 and 269,835,012 is: 394,508,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,561,261 : 269,835,012 = 269,835,012 : x
  2. Step 2: Convert to fraction form
    184,561,261/269,835,012 = 269,835,012/x
  3. Step 3: Cross multiply
    184,561,261x = 269,835,012 × 269,835,012
  4. Step 4: Simplify right side
    184,561,261x = 72,810,933,701,040,144
  5. Step 5: Solve for x
    x = 72,810,933,701,040,144/184,561,261
  6. Step 6: Final answer
    x = 394,508,215.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.