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Finding the Third Proportional to 65,183,734 and 143,383,916

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Solution

The third proportional to 65,183,734 and 143,383,916 is: 315,399,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,183,734 : 143,383,916 = 143,383,916 : x
  2. Step 2: Convert to fraction form
    65,183,734/143,383,916 = 143,383,916/x
  3. Step 3: Cross multiply
    65,183,734x = 143,383,916 × 143,383,916
  4. Step 4: Simplify right side
    65,183,734x = 20,558,947,367,495,056
  5. Step 5: Solve for x
    x = 20,558,947,367,495,056/65,183,734
  6. Step 6: Final answer
    x = 315,399,964.16

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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.