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Finding the Third Proportional to 107,745.19 and 234,145.69

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Solution

The third proportional to 107,745.19 and 234,145.69 is: 508,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,745.19 : 234,145.69 = 234,145.69 : x
  2. Step 2: Convert to fraction form
    107,745.19/234,145.69 = 234,145.69/x
  3. Step 3: Cross multiply
    107,745.19x = 234,145.69 × 234,145.69
  4. Step 4: Simplify right side
    107,745.19x = 54,824,202,974.85
  5. Step 5: Solve for x
    x = 54,824,202,974.85/107,745.19
  6. Step 6: Final answer
    x = 508,832.03

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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.