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Finding the Third Proportional to 106,399.41 and 233,529.75

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Solution

The third proportional to 106,399.41 and 233,529.75 is: 512,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,399.41 : 233,529.75 = 233,529.75 : x
  2. Step 2: Convert to fraction form
    106,399.41/233,529.75 = 233,529.75/x
  3. Step 3: Cross multiply
    106,399.41x = 233,529.75 × 233,529.75
  4. Step 4: Simplify right side
    106,399.41x = 54,536,144,135.06
  5. Step 5: Solve for x
    x = 54,536,144,135.06/106,399.41
  6. Step 6: Final answer
    x = 512,560.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.