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Finding the Third Proportional to 106,906 and 229,607

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Solution

The third proportional to 106,906 and 229,607 is: 493,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906 : 229,607 = 229,607 : x
  2. Step 2: Convert to fraction form
    106,906/229,607 = 229,607/x
  3. Step 3: Cross multiply
    106,906x = 229,607 × 229,607
  4. Step 4: Simplify right side
    106,906x = 52,719,374,449
  5. Step 5: Solve for x
    x = 52,719,374,449/106,906
  6. Step 6: Final answer
    x = 493,137.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.