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Finding the Third Proportional to 151,422,144 and 328,687,167

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Solution

The third proportional to 151,422,144 and 328,687,167 is: 713,470,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,422,144 : 328,687,167 = 328,687,167 : x
  2. Step 2: Convert to fraction form
    151,422,144/328,687,167 = 328,687,167/x
  3. Step 3: Cross multiply
    151,422,144x = 328,687,167 × 328,687,167
  4. Step 4: Simplify right side
    151,422,144x = 108,035,253,750,485,888
  5. Step 5: Solve for x
    x = 108,035,253,750,485,888/151,422,144
  6. Step 6: Final answer
    x = 713,470,638.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.