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Finding the Third Proportional to 145,138,468,606 and 227,181,344,027

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Solution

The third proportional to 145,138,468,606 and 227,181,344,027 is: 355,600,851,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,138,468,606 : 227,181,344,027 = 227,181,344,027 : x
  2. Step 2: Convert to fraction form
    145,138,468,606/227,181,344,027 = 227,181,344,027/x
  3. Step 3: Cross multiply
    145,138,468,606x = 227,181,344,027 × 227,181,344,027
  4. Step 4: Simplify right side
    145,138,468,606x = 51,611,363,073,914,130,399,232
  5. Step 5: Solve for x
    x = 51,611,363,073,914,130,399,232/145,138,468,606
  6. Step 6: Final answer
    x = 355,600,851,859.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.