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Finding the Third Proportional to 103,653.42 and 226,067.20

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Solution

The third proportional to 103,653.42 and 226,067.20 is: 493,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,653.42 : 226,067.20 = 226,067.20 : x
  2. Step 2: Convert to fraction form
    103,653.42/226,067.20 = 226,067.20/x
  3. Step 3: Cross multiply
    103,653.42x = 226,067.20 × 226,067.20
  4. Step 4: Simplify right side
    103,653.42x = 51,106,380,328.76
  5. Step 5: Solve for x
    x = 51,106,380,328.76/103,653.42
  6. Step 6: Final answer
    x = 493,050.59

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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.