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Finding the Third Proportional to 65,183,732 and 143,383,912

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Solution

The third proportional to 65,183,732 and 143,383,912 is: 315,399,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,183,732 : 143,383,912 = 143,383,912 : x
  2. Step 2: Convert to fraction form
    65,183,732/143,383,912 = 143,383,912/x
  3. Step 3: Cross multiply
    65,183,732x = 143,383,912 × 143,383,912
  4. Step 4: Simplify right side
    65,183,732x = 20,558,946,220,423,744
  5. Step 5: Solve for x
    x = 20,558,946,220,423,744/65,183,732
  6. Step 6: Final answer
    x = 315,399,956.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.