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Finding the Third Proportional to 85,269,945 and 187,542,102

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Solution

The third proportional to 85,269,945 and 187,542,102 is: 412,478,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,269,945 : 187,542,102 = 187,542,102 : x
  2. Step 2: Convert to fraction form
    85,269,945/187,542,102 = 187,542,102/x
  3. Step 3: Cross multiply
    85,269,945x = 187,542,102 × 187,542,102
  4. Step 4: Simplify right side
    85,269,945x = 35,172,040,022,578,404
  5. Step 5: Solve for x
    x = 35,172,040,022,578,404/85,269,945
  6. Step 6: Final answer
    x = 412,478,746.44

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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.