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Finding the Third Proportional to 47,872.69 and 102,853.13

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Solution

The third proportional to 47,872.69 and 102,853.13 is: 220,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.69 : 102,853.13 = 102,853.13 : x
  2. Step 2: Convert to fraction form
    47,872.69/102,853.13 = 102,853.13/x
  3. Step 3: Cross multiply
    47,872.69x = 102,853.13 × 102,853.13
  4. Step 4: Simplify right side
    47,872.69x = 10,578,765,322.27
  5. Step 5: Solve for x
    x = 10,578,765,322.27/47,872.69
  6. Step 6: Final answer
    x = 220,977.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.