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Finding the Third Proportional to 106,916 and 229,627

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Solution

The third proportional to 106,916 and 229,627 is: 493,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,916 : 229,627 = 229,627 : x
  2. Step 2: Convert to fraction form
    106,916/229,627 = 229,627/x
  3. Step 3: Cross multiply
    106,916x = 229,627 × 229,627
  4. Step 4: Simplify right side
    106,916x = 52,728,559,129
  5. Step 5: Solve for x
    x = 52,728,559,129/106,916
  6. Step 6: Final answer
    x = 493,177.44

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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.