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Finding the Third Proportional to 167,694,268 and 266,658,162

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Solution

The third proportional to 167,694,268 and 266,658,162 is: 424,025,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,694,268 : 266,658,162 = 266,658,162 : x
  2. Step 2: Convert to fraction form
    167,694,268/266,658,162 = 266,658,162/x
  3. Step 3: Cross multiply
    167,694,268x = 266,658,162 × 266,658,162
  4. Step 4: Simplify right side
    167,694,268x = 71,106,575,361,218,240
  5. Step 5: Solve for x
    x = 71,106,575,361,218,240/167,694,268
  6. Step 6: Final answer
    x = 424,025,079.74

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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.