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Finding the Third Proportional to 106,741.13 and 231,014.25

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Solution

The third proportional to 106,741.13 and 231,014.25 is: 499,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,741.13 : 231,014.25 = 231,014.25 : x
  2. Step 2: Convert to fraction form
    106,741.13/231,014.25 = 231,014.25/x
  3. Step 3: Cross multiply
    106,741.13x = 231,014.25 × 231,014.25
  4. Step 4: Simplify right side
    106,741.13x = 53,367,583,703.06
  5. Step 5: Solve for x
    x = 53,367,583,703.06/106,741.13
  6. Step 6: Final answer
    x = 499,972.09

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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.