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Finding the Third Proportional to 106,096.50 and 230,874.75

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Solution

The third proportional to 106,096.50 and 230,874.75 is: 502,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,096.50 : 230,874.75 = 230,874.75 : x
  2. Step 2: Convert to fraction form
    106,096.50/230,874.75 = 230,874.75/x
  3. Step 3: Cross multiply
    106,096.50x = 230,874.75 × 230,874.75
  4. Step 4: Simplify right side
    106,096.50x = 53,303,150,187.56
  5. Step 5: Solve for x
    x = 53,303,150,187.56/106,096.50
  6. Step 6: Final answer
    x = 502,402.53

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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.