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Finding the Third Proportional to 85,269,715 and 187,541,653

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Solution

The third proportional to 85,269,715 and 187,541,653 is: 412,477,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,269,715 : 187,541,653 = 187,541,653 : x
  2. Step 2: Convert to fraction form
    85,269,715/187,541,653 = 187,541,653/x
  3. Step 3: Cross multiply
    85,269,715x = 187,541,653 × 187,541,653
  4. Step 4: Simplify right side
    85,269,715x = 35,171,871,609,972,408
  5. Step 5: Solve for x
    x = 35,171,871,609,972,408/85,269,715
  6. Step 6: Final answer
    x = 412,477,883.97

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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.