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Finding the Third Proportional to 47,841.19 and 103,995

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Solution

The third proportional to 47,841.19 and 103,995 is: 226,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,841.19 : 103,995 = 103,995 : x
  2. Step 2: Convert to fraction form
    47,841.19/103,995 = 103,995/x
  3. Step 3: Cross multiply
    47,841.19x = 103,995 × 103,995
  4. Step 4: Simplify right side
    47,841.19x = 10,814,960,025
  5. Step 5: Solve for x
    x = 10,814,960,025/47,841.19
  6. Step 6: Final answer
    x = 226,059.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.