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Finding the Third Proportional to 151,422,147 and 328,687,173

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Solution

The third proportional to 151,422,147 and 328,687,173 is: 713,470,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,422,147 : 328,687,173 = 328,687,173 : x
  2. Step 2: Convert to fraction form
    151,422,147/328,687,173 = 328,687,173/x
  3. Step 3: Cross multiply
    151,422,147x = 328,687,173 × 328,687,173
  4. Step 4: Simplify right side
    151,422,147x = 108,035,257,694,731,936
  5. Step 5: Solve for x
    x = 108,035,257,694,731,936/151,422,147
  6. Step 6: Final answer
    x = 713,470,650.33

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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.