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Finding the Third Proportional to 101,082,103.75 and 144,448,668.25

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Solution

The third proportional to 101,082,103.75 and 144,448,668.25 is: 206,420,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082,103.75 : 144,448,668.25 = 144,448,668.25 : x
  2. Step 2: Convert to fraction form
    101,082,103.75/144,448,668.25 = 144,448,668.25/x
  3. Step 3: Cross multiply
    101,082,103.75x = 144,448,668.25 × 144,448,668.25
  4. Step 4: Simplify right side
    101,082,103.75x = 20,865,417,759,198,560
  5. Step 5: Solve for x
    x = 20,865,417,759,198,560/101,082,103.75
  6. Step 6: Final answer
    x = 206,420,493.69

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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.