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Finding the Third Proportional to 107,144 and 226,216

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Solution

The third proportional to 107,144 and 226,216 is: 477,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,144 : 226,216 = 226,216 : x
  2. Step 2: Convert to fraction form
    107,144/226,216 = 226,216/x
  3. Step 3: Cross multiply
    107,144x = 226,216 × 226,216
  4. Step 4: Simplify right side
    107,144x = 51,173,678,656
  5. Step 5: Solve for x
    x = 51,173,678,656/107,144
  6. Step 6: Final answer
    x = 477,615.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.