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Finding the Third Proportional to 104,120,568,648 and 146,624,704,623

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Solution

The third proportional to 104,120,568,648 and 146,624,704,623 is: 206,479,894,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,120,568,648 : 146,624,704,623 = 146,624,704,623 : x
  2. Step 2: Convert to fraction form
    104,120,568,648/146,624,704,623 = 146,624,704,623/x
  3. Step 3: Cross multiply
    104,120,568,648x = 146,624,704,623 × 146,624,704,623
  4. Step 4: Simplify right side
    104,120,568,648x = 21,498,804,005,781,997,879,296
  5. Step 5: Solve for x
    x = 21,498,804,005,781,997,879,296/104,120,568,648
  6. Step 6: Final answer
    x = 206,479,894,270.10

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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.