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Finding the Third Proportional to 65,809,182 and 142,601,469

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Solution

The third proportional to 65,809,182 and 142,601,469 is: 309,002,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809,182 : 142,601,469 = 142,601,469 : x
  2. Step 2: Convert to fraction form
    65,809,182/142,601,469 = 142,601,469/x
  3. Step 3: Cross multiply
    65,809,182x = 142,601,469 × 142,601,469
  4. Step 4: Simplify right side
    65,809,182x = 20,335,178,960,957,960
  5. Step 5: Solve for x
    x = 20,335,178,960,957,960/65,809,182
  6. Step 6: Final answer
    x = 309,002,153.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.