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Finding the Third Proportional to 101,085,822 and 144,454,269

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Solution

The third proportional to 101,085,822 and 144,454,269 is: 206,428,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,085,822 : 144,454,269 = 144,454,269 : x
  2. Step 2: Convert to fraction form
    101,085,822/144,454,269 = 144,454,269/x
  3. Step 3: Cross multiply
    101,085,822x = 144,454,269 × 144,454,269
  4. Step 4: Simplify right side
    101,085,822x = 20,867,035,832,324,360
  5. Step 5: Solve for x
    x = 20,867,035,832,324,360/101,085,822
  6. Step 6: Final answer
    x = 206,428,907.83

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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.