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Finding the Third Proportional to 101,085,865 and 144,454,327

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Solution

The third proportional to 101,085,865 and 144,454,327 is: 206,428,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,085,865 : 144,454,327 = 144,454,327 : x
  2. Step 2: Convert to fraction form
    101,085,865/144,454,327 = 144,454,327/x
  3. Step 3: Cross multiply
    101,085,865x = 144,454,327 × 144,454,327
  4. Step 4: Simplify right side
    101,085,865x = 20,867,052,589,022,928
  5. Step 5: Solve for x
    x = 20,867,052,589,022,928/101,085,865
  6. Step 6: Final answer
    x = 206,428,985.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.