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Finding the Third Proportional to 48,141.53 and 103,894.73

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Solution

The third proportional to 48,141.53 and 103,894.73 is: 224,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,141.53 : 103,894.73 = 103,894.73 : x
  2. Step 2: Convert to fraction form
    48,141.53/103,894.73 = 103,894.73/x
  3. Step 3: Cross multiply
    48,141.53x = 103,894.73 × 103,894.73
  4. Step 4: Simplify right side
    48,141.53x = 10,794,115,830.85
  5. Step 5: Solve for x
    x = 10,794,115,830.85/48,141.53
  6. Step 6: Final answer
    x = 224,216.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.