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Finding the Third Proportional to 106,369.88 and 226,820.25

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Solution

The third proportional to 106,369.88 and 226,820.25 is: 483,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,369.88 : 226,820.25 = 226,820.25 : x
  2. Step 2: Convert to fraction form
    106,369.88/226,820.25 = 226,820.25/x
  3. Step 3: Cross multiply
    106,369.88x = 226,820.25 × 226,820.25
  4. Step 4: Simplify right side
    106,369.88x = 51,447,425,810.06
  5. Step 5: Solve for x
    x = 51,447,425,810.06/106,369.88
  6. Step 6: Final answer
    x = 483,665.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.