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Finding the Third Proportional to 103,712.25 and 226,195.25

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Solution

The third proportional to 103,712.25 and 226,195.25 is: 493,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,712.25 : 226,195.25 = 226,195.25 : x
  2. Step 2: Convert to fraction form
    103,712.25/226,195.25 = 226,195.25/x
  3. Step 3: Cross multiply
    103,712.25x = 226,195.25 × 226,195.25
  4. Step 4: Simplify right side
    103,712.25x = 51,164,291,122.56
  5. Step 5: Solve for x
    x = 51,164,291,122.56/103,712.25
  6. Step 6: Final answer
    x = 493,329.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.