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Finding the Third Proportional to 102,806.13 and 229,250.56

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Solution

The third proportional to 102,806.13 and 229,250.56 is: 511,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,806.13 : 229,250.56 = 229,250.56 : x
  2. Step 2: Convert to fraction form
    102,806.13/229,250.56 = 229,250.56/x
  3. Step 3: Cross multiply
    102,806.13x = 229,250.56 × 229,250.56
  4. Step 4: Simplify right side
    102,806.13x = 52,555,820,406.57
  5. Step 5: Solve for x
    x = 52,555,820,406.57/102,806.13
  6. Step 6: Final answer
    x = 511,212.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.