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Finding the Third Proportional to 104,120,568,588 and 146,624,704,570

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Solution

The third proportional to 104,120,568,588 and 146,624,704,570 is: 206,479,894,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,120,568,588 : 146,624,704,570 = 146,624,704,570 : x
  2. Step 2: Convert to fraction form
    104,120,568,588/146,624,704,570 = 146,624,704,570/x
  3. Step 3: Cross multiply
    104,120,568,588x = 146,624,704,570 × 146,624,704,570
  4. Step 4: Simplify right side
    104,120,568,588x = 21,498,803,990,239,777,914,880
  5. Step 5: Solve for x
    x = 21,498,803,990,239,777,914,880/104,120,568,588
  6. Step 6: Final answer
    x = 206,479,894,239.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.