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Finding the Third Proportional to 109,255.50 and 226,095.75

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Solution

The third proportional to 109,255.50 and 226,095.75 is: 467,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,255.50 : 226,095.75 = 226,095.75 : x
  2. Step 2: Convert to fraction form
    109,255.50/226,095.75 = 226,095.75/x
  3. Step 3: Cross multiply
    109,255.50x = 226,095.75 × 226,095.75
  4. Step 4: Simplify right side
    109,255.50x = 51,119,288,168.06
  5. Step 5: Solve for x
    x = 51,119,288,168.06/109,255.50
  6. Step 6: Final answer
    x = 467,887.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.