Home / 181,175,162,208-394,159,275,163.50

Finding the Third Proportional to 181,175,162,208 and 394,159,275,163.50

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Solution

The third proportional to 181,175,162,208 and 394,159,275,163.50 is: 857,521,154,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,175,162,208 : 394,159,275,163.50 = 394,159,275,163.50 : x
  2. Step 2: Convert to fraction form
    181,175,162,208/394,159,275,163.50 = 394,159,275,163.50/x
  3. Step 3: Cross multiply
    181,175,162,208x = 394,159,275,163.50 × 394,159,275,163.50
  4. Step 4: Simplify right side
    181,175,162,208x = 155,361,534,197,415,706,361,856
  5. Step 5: Solve for x
    x = 155,361,534,197,415,706,361,856/181,175,162,208
  6. Step 6: Final answer
    x = 857,521,154,136.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.