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Finding the Third Proportional to 169,796,493 and 269,298,067.50

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Solution

The third proportional to 169,796,493 and 269,298,067.50 is: 427,108,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,796,493 : 269,298,067.50 = 269,298,067.50 : x
  2. Step 2: Convert to fraction form
    169,796,493/269,298,067.50 = 269,298,067.50/x
  3. Step 3: Cross multiply
    169,796,493x = 269,298,067.50 × 269,298,067.50
  4. Step 4: Simplify right side
    169,796,493x = 72,521,449,159,234,560
  5. Step 5: Solve for x
    x = 72,521,449,159,234,560/169,796,493
  6. Step 6: Final answer
    x = 427,108,050.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.