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Finding the Third Proportional to 104,120,568,644 and 146,624,704,598

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Solution

The third proportional to 104,120,568,644 and 146,624,704,598 is: 206,479,894,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,120,568,644 : 146,624,704,598 = 146,624,704,598 : x
  2. Step 2: Convert to fraction form
    104,120,568,644/146,624,704,598 = 146,624,704,598/x
  3. Step 3: Cross multiply
    104,120,568,644x = 146,624,704,598 × 146,624,704,598
  4. Step 4: Simplify right side
    104,120,568,644x = 21,498,803,998,450,761,334,784
  5. Step 5: Solve for x
    x = 21,498,803,998,450,761,334,784/104,120,568,644
  6. Step 6: Final answer
    x = 206,479,894,207.62

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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.