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Finding the Third Proportional to 150,264,180 and 226,578,780

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Solution

The third proportional to 150,264,180 and 226,578,780 is: 341,651,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264,180 : 226,578,780 = 226,578,780 : x
  2. Step 2: Convert to fraction form
    150,264,180/226,578,780 = 226,578,780/x
  3. Step 3: Cross multiply
    150,264,180x = 226,578,780 × 226,578,780
  4. Step 4: Simplify right side
    150,264,180x = 51,337,943,546,288,400
  5. Step 5: Solve for x
    x = 51,337,943,546,288,400/150,264,180
  6. Step 6: Final answer
    x = 341,651,240.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.