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Finding the Third Proportional to 177,632,608 and 266,448,912

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Solution

The third proportional to 177,632,608 and 266,448,912 is: 399,673,368

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,632,608 : 266,448,912 = 266,448,912 : x
  2. Step 2: Convert to fraction form
    177,632,608/266,448,912 = 266,448,912/x
  3. Step 3: Cross multiply
    177,632,608x = 266,448,912 × 266,448,912
  4. Step 4: Simplify right side
    177,632,608x = 70,995,022,705,983,744
  5. Step 5: Solve for x
    x = 70,995,022,705,983,744/177,632,608
  6. Step 6: Final answer
    x = 399,673,368

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.