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Finding the Third Proportional to 47,335.88 and 103,725.19

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Solution

The third proportional to 47,335.88 and 103,725.19 is: 227,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,335.88 : 103,725.19 = 103,725.19 : x
  2. Step 2: Convert to fraction form
    47,335.88/103,725.19 = 103,725.19/x
  3. Step 3: Cross multiply
    47,335.88x = 103,725.19 × 103,725.19
  4. Step 4: Simplify right side
    47,335.88x = 10,758,914,521.91
  5. Step 5: Solve for x
    x = 10,758,914,521.91/47,335.88
  6. Step 6: Final answer
    x = 227,288.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.