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Finding the Third Proportional to 169,661,469 and 259,426,761

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Solution

The third proportional to 169,661,469 and 259,426,761 is: 396,685,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,661,469 : 259,426,761 = 259,426,761 : x
  2. Step 2: Convert to fraction form
    169,661,469/259,426,761 = 259,426,761/x
  3. Step 3: Cross multiply
    169,661,469x = 259,426,761 × 259,426,761
  4. Step 4: Simplify right side
    169,661,469x = 67,302,244,322,951,120
  5. Step 5: Solve for x
    x = 67,302,244,322,951,120/169,661,469
  6. Step 6: Final answer
    x = 396,685,498.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.