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Finding the Third Proportional to 51,887.38 and 108,200.13

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Solution

The third proportional to 51,887.38 and 108,200.13 is: 225,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,887.38 : 108,200.13 = 108,200.13 : x
  2. Step 2: Convert to fraction form
    51,887.38/108,200.13 = 108,200.13/x
  3. Step 3: Cross multiply
    51,887.38x = 108,200.13 × 108,200.13
  4. Step 4: Simplify right side
    51,887.38x = 11,707,267,050.02
  5. Step 5: Solve for x
    x = 11,707,267,050.02/51,887.38
  6. Step 6: Final answer
    x = 225,628.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.