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Finding the Third Proportional to 106,610.25 and 229,827

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Solution

The third proportional to 106,610.25 and 229,827 is: 495,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,610.25 : 229,827 = 229,827 : x
  2. Step 2: Convert to fraction form
    106,610.25/229,827 = 229,827/x
  3. Step 3: Cross multiply
    106,610.25x = 229,827 × 229,827
  4. Step 4: Simplify right side
    106,610.25x = 52,820,449,929
  5. Step 5: Solve for x
    x = 52,820,449,929/106,610.25
  6. Step 6: Final answer
    x = 495,453.77

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Why These Related Problems?

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