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Finding the Third Proportional to 101,082,156 and 144,448,743

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Solution

The third proportional to 101,082,156 and 144,448,743 is: 206,420,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082,156 : 144,448,743 = 144,448,743 : x
  2. Step 2: Convert to fraction form
    101,082,156/144,448,743 = 144,448,743/x
  3. Step 3: Cross multiply
    101,082,156x = 144,448,743 × 144,448,743
  4. Step 4: Simplify right side
    101,082,156x = 20,865,439,354,280,048
  5. Step 5: Solve for x
    x = 20,865,439,354,280,048/101,082,156
  6. Step 6: Final answer
    x = 206,420,600.63

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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.