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Finding the Third Proportional to 106,741.88 and 231,015.75

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Solution

The third proportional to 106,741.88 and 231,015.75 is: 499,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,741.88 : 231,015.75 = 231,015.75 : x
  2. Step 2: Convert to fraction form
    106,741.88/231,015.75 = 231,015.75/x
  3. Step 3: Cross multiply
    106,741.88x = 231,015.75 × 231,015.75
  4. Step 4: Simplify right side
    106,741.88x = 53,368,276,748.06
  5. Step 5: Solve for x
    x = 53,368,276,748.06/106,741.88
  6. Step 6: Final answer
    x = 499,975.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.