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Finding the Third Proportional to 150,264,198 and 226,578,807

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Solution

The third proportional to 150,264,198 and 226,578,807 is: 341,651,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264,198 : 226,578,807 = 226,578,807 : x
  2. Step 2: Convert to fraction form
    150,264,198/226,578,807 = 226,578,807/x
  3. Step 3: Cross multiply
    150,264,198x = 226,578,807 × 226,578,807
  4. Step 4: Simplify right side
    150,264,198x = 51,337,955,781,543,248
  5. Step 5: Solve for x
    x = 51,337,955,781,543,248/150,264,198
  6. Step 6: Final answer
    x = 341,651,281.31

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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.