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Finding the Third Proportional to 106,511 and 229,623

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Solution

The third proportional to 106,511 and 229,623 is: 495,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,511 : 229,623 = 229,623 : x
  2. Step 2: Convert to fraction form
    106,511/229,623 = 229,623/x
  3. Step 3: Cross multiply
    106,511x = 229,623 × 229,623
  4. Step 4: Simplify right side
    106,511x = 52,726,722,129
  5. Step 5: Solve for x
    x = 52,726,722,129/106,511
  6. Step 6: Final answer
    x = 495,035.46

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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.