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Finding the Third Proportional to 150,264,172 and 226,578,768

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Solution

The third proportional to 150,264,172 and 226,578,768 is: 341,651,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264,172 : 226,578,768 = 226,578,768 : x
  2. Step 2: Convert to fraction form
    150,264,172/226,578,768 = 226,578,768/x
  3. Step 3: Cross multiply
    150,264,172x = 226,578,768 × 226,578,768
  4. Step 4: Simplify right side
    150,264,172x = 51,337,938,108,397,824
  5. Step 5: Solve for x
    x = 51,337,938,108,397,824/150,264,172
  6. Step 6: Final answer
    x = 341,651,222.81

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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.