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Finding the Third Proportional to 47,426.06 and 103,218.75

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Solution

The third proportional to 47,426.06 and 103,218.75 is: 224,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,426.06 : 103,218.75 = 103,218.75 : x
  2. Step 2: Convert to fraction form
    47,426.06/103,218.75 = 103,218.75/x
  3. Step 3: Cross multiply
    47,426.06x = 103,218.75 × 103,218.75
  4. Step 4: Simplify right side
    47,426.06x = 10,654,110,351.56
  5. Step 5: Solve for x
    x = 10,654,110,351.56/47,426.06
  6. Step 6: Final answer
    x = 224,646.74

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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.