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Finding the Third Proportional to 106,927.88 and 229,650.75

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Solution

The third proportional to 106,927.88 and 229,650.75 is: 493,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,927.88 : 229,650.75 = 229,650.75 : x
  2. Step 2: Convert to fraction form
    106,927.88/229,650.75 = 229,650.75/x
  3. Step 3: Cross multiply
    106,927.88x = 229,650.75 × 229,650.75
  4. Step 4: Simplify right side
    106,927.88x = 52,739,466,975.56
  5. Step 5: Solve for x
    x = 52,739,466,975.56/106,927.88
  6. Step 6: Final answer
    x = 493,224.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.