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Finding the Third Proportional to 167,694,326 and 266,658,261

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Solution

The third proportional to 167,694,326 and 266,658,261 is: 424,025,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,694,326 : 266,658,261 = 266,658,261 : x
  2. Step 2: Convert to fraction form
    167,694,326/266,658,261 = 266,658,261/x
  3. Step 3: Cross multiply
    167,694,326x = 266,658,261 × 266,658,261
  4. Step 4: Simplify right side
    167,694,326x = 71,106,628,159,544,120
  5. Step 5: Solve for x
    x = 71,106,628,159,544,120/167,694,326
  6. Step 6: Final answer
    x = 424,025,247.94

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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.