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Finding the Third Proportional to 167,694,322 and 266,658,255

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Solution

The third proportional to 167,694,322 and 266,658,255 is: 424,025,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,694,322 : 266,658,255 = 266,658,255 : x
  2. Step 2: Convert to fraction form
    167,694,322/266,658,255 = 266,658,255/x
  3. Step 3: Cross multiply
    167,694,322x = 266,658,255 × 266,658,255
  4. Step 4: Simplify right side
    167,694,322x = 71,106,624,959,645,024
  5. Step 5: Solve for x
    x = 71,106,624,959,645,024/167,694,322
  6. Step 6: Final answer
    x = 424,025,238.97

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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.