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Finding the Third Proportional to 106,660 and 229,149

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Solution

The third proportional to 106,660 and 229,149 is: 492,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,660 : 229,149 = 229,149 : x
  2. Step 2: Convert to fraction form
    106,660/229,149 = 229,149/x
  3. Step 3: Cross multiply
    106,660x = 229,149 × 229,149
  4. Step 4: Simplify right side
    106,660x = 52,509,264,201
  5. Step 5: Solve for x
    x = 52,509,264,201/106,660
  6. Step 6: Final answer
    x = 492,305.12

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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.