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Finding the Third Proportional to 107,800.88 and 226,776.38

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Solution

The third proportional to 107,800.88 and 226,776.38 is: 477,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,800.88 : 226,776.38 = 226,776.38 : x
  2. Step 2: Convert to fraction form
    107,800.88/226,776.38 = 226,776.38/x
  3. Step 3: Cross multiply
    107,800.88x = 226,776.38 × 226,776.38
  4. Step 4: Simplify right side
    107,800.88x = 51,427,524,258.14
  5. Step 5: Solve for x
    x = 51,427,524,258.14/107,800.88
  6. Step 6: Final answer
    x = 477,060.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.