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Finding the Third Proportional to 71,204,496 and 146,183,756

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Solution

The third proportional to 71,204,496 and 146,183,756 is: 300,117,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204,496 : 146,183,756 = 146,183,756 : x
  2. Step 2: Convert to fraction form
    71,204,496/146,183,756 = 146,183,756/x
  3. Step 3: Cross multiply
    71,204,496x = 146,183,756 × 146,183,756
  4. Step 4: Simplify right side
    71,204,496x = 21,369,690,518,267,536
  5. Step 5: Solve for x
    x = 21,369,690,518,267,536/71,204,496
  6. Step 6: Final answer
    x = 300,117,151.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.