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Finding the Third Proportional to 107,529.75 and 233,922.38

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Solution

The third proportional to 107,529.75 and 233,922.38 is: 508,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,529.75 : 233,922.38 = 233,922.38 : x
  2. Step 2: Convert to fraction form
    107,529.75/233,922.38 = 233,922.38/x
  3. Step 3: Cross multiply
    107,529.75x = 233,922.38 × 233,922.38
  4. Step 4: Simplify right side
    107,529.75x = 54,719,677,525.64
  5. Step 5: Solve for x
    x = 54,719,677,525.64/107,529.75
  6. Step 6: Final answer
    x = 508,879.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.