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Finding the Third Proportional to 154,280,796 and 329,485,254

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Solution

The third proportional to 154,280,796 and 329,485,254 is: 703,655,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,280,796 : 329,485,254 = 329,485,254 : x
  2. Step 2: Convert to fraction form
    154,280,796/329,485,254 = 329,485,254/x
  3. Step 3: Cross multiply
    154,280,796x = 329,485,254 × 329,485,254
  4. Step 4: Simplify right side
    154,280,796x = 108,560,532,603,444,512
  5. Step 5: Solve for x
    x = 108,560,532,603,444,512/154,280,796
  6. Step 6: Final answer
    x = 703,655,512.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.