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Finding the Third Proportional to 73,177,144 and 159,108,385

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Solution

The third proportional to 73,177,144 and 159,108,385 is: 345,947,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177,144 : 159,108,385 = 159,108,385 : x
  2. Step 2: Convert to fraction form
    73,177,144/159,108,385 = 159,108,385/x
  3. Step 3: Cross multiply
    73,177,144x = 159,108,385 × 159,108,385
  4. Step 4: Simplify right side
    73,177,144x = 25,315,478,177,308,224
  5. Step 5: Solve for x
    x = 25,315,478,177,308,224/73,177,144
  6. Step 6: Final answer
    x = 345,947,884.73

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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.