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Finding the Third Proportional to 106,212 and 231,747

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Solution

The third proportional to 106,212 and 231,747 is: 505,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,212 : 231,747 = 231,747 : x
  2. Step 2: Convert to fraction form
    106,212/231,747 = 231,747/x
  3. Step 3: Cross multiply
    106,212x = 231,747 × 231,747
  4. Step 4: Simplify right side
    106,212x = 53,706,672,009
  5. Step 5: Solve for x
    x = 53,706,672,009/106,212
  6. Step 6: Final answer
    x = 505,655.41

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Why These Related Problems?

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