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Finding the Third Proportional to 106,168.50 and 231,069

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Solution

The third proportional to 106,168.50 and 231,069 is: 502,907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,168.50 : 231,069 = 231,069 : x
  2. Step 2: Convert to fraction form
    106,168.50/231,069 = 231,069/x
  3. Step 3: Cross multiply
    106,168.50x = 231,069 × 231,069
  4. Step 4: Simplify right side
    106,168.50x = 53,392,882,761
  5. Step 5: Solve for x
    x = 53,392,882,761/106,168.50
  6. Step 6: Final answer
    x = 502,907.01

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