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Finding the Third Proportional to 103,647.09 and 226,054.55

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Solution

The third proportional to 103,647.09 and 226,054.55 is: 493,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,647.09 : 226,054.55 = 226,054.55 : x
  2. Step 2: Convert to fraction form
    103,647.09/226,054.55 = 226,054.55/x
  3. Step 3: Cross multiply
    103,647.09x = 226,054.55 × 226,054.55
  4. Step 4: Simplify right side
    103,647.09x = 51,100,658,162.86
  5. Step 5: Solve for x
    x = 51,100,658,162.86/103,647.09
  6. Step 6: Final answer
    x = 493,025.48

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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.