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Finding the Third Proportional to 150,264,168.19 and 226,578,760.31

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Solution

The third proportional to 150,264,168.19 and 226,578,760.31 is: 341,651,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264,168.19 : 226,578,760.31 = 226,578,760.31 : x
  2. Step 2: Convert to fraction form
    150,264,168.19/226,578,760.31 = 226,578,760.31/x
  3. Step 3: Cross multiply
    150,264,168.19x = 226,578,760.31 × 226,578,760.31
  4. Step 4: Simplify right side
    150,264,168.19x = 51,337,934,624,749,328
  5. Step 5: Solve for x
    x = 51,337,934,624,749,328/150,264,168.19
  6. Step 6: Final answer
    x = 341,651,208.30

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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.