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Finding the Third Proportional to 73,177,168 and 159,108,434

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Solution

The third proportional to 73,177,168 and 159,108,434 is: 345,947,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177,168 : 159,108,434 = 159,108,434 : x
  2. Step 2: Convert to fraction form
    73,177,168/159,108,434 = 159,108,434/x
  3. Step 3: Cross multiply
    73,177,168x = 159,108,434 × 159,108,434
  4. Step 4: Simplify right side
    73,177,168x = 25,315,493,769,932,356
  5. Step 5: Solve for x
    x = 25,315,493,769,932,356/73,177,168
  6. Step 6: Final answer
    x = 345,947,984.35

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