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Finding the Third Proportional to 106,244 and 229,912

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Solution

The third proportional to 106,244 and 229,912 is: 497,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,244 : 229,912 = 229,912 : x
  2. Step 2: Convert to fraction form
    106,244/229,912 = 229,912/x
  3. Step 3: Cross multiply
    106,244x = 229,912 × 229,912
  4. Step 4: Simplify right side
    106,244x = 52,859,527,744
  5. Step 5: Solve for x
    x = 52,859,527,744/106,244
  6. Step 6: Final answer
    x = 497,529.53

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