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Finding the Third Proportional to 73,177,170 and 159,108,438

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Solution

The third proportional to 73,177,170 and 159,108,438 is: 345,947,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177,170 : 159,108,438 = 159,108,438 : x
  2. Step 2: Convert to fraction form
    73,177,170/159,108,438 = 159,108,438/x
  3. Step 3: Cross multiply
    73,177,170x = 159,108,438 × 159,108,438
  4. Step 4: Simplify right side
    73,177,170x = 25,315,495,042,799,844
  5. Step 5: Solve for x
    x = 25,315,495,042,799,844/73,177,170
  6. Step 6: Final answer
    x = 345,947,992.29

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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.