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Finding the Third Proportional to 101,650.75 and 214,745.38

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Solution

The third proportional to 101,650.75 and 214,745.38 is: 453,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,650.75 : 214,745.38 = 214,745.38 : x
  2. Step 2: Convert to fraction form
    101,650.75/214,745.38 = 214,745.38/x
  3. Step 3: Cross multiply
    101,650.75x = 214,745.38 × 214,745.38
  4. Step 4: Simplify right side
    101,650.75x = 46,115,576,083.89
  5. Step 5: Solve for x
    x = 46,115,576,083.89/101,650.75
  6. Step 6: Final answer
    x = 453,666.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.