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Finding the Third Proportional to 71,204,494 and 146,183,750

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Solution

The third proportional to 71,204,494 and 146,183,750 is: 300,117,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204,494 : 146,183,750 = 146,183,750 : x
  2. Step 2: Convert to fraction form
    71,204,494/146,183,750 = 146,183,750/x
  3. Step 3: Cross multiply
    71,204,494x = 146,183,750 × 146,183,750
  4. Step 4: Simplify right side
    71,204,494x = 21,369,688,764,062,500
  5. Step 5: Solve for x
    x = 21,369,688,764,062,500/71,204,494
  6. Step 6: Final answer
    x = 300,117,135.36

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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.