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Finding the Third Proportional to 48,036.94 and 102,310.31

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Solution

The third proportional to 48,036.94 and 102,310.31 is: 217,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,036.94 : 102,310.31 = 102,310.31 : x
  2. Step 2: Convert to fraction form
    48,036.94/102,310.31 = 102,310.31/x
  3. Step 3: Cross multiply
    48,036.94x = 102,310.31 × 102,310.31
  4. Step 4: Simplify right side
    48,036.94x = 10,467,400,043.85
  5. Step 5: Solve for x
    x = 10,467,400,043.85/48,036.94
  6. Step 6: Final answer
    x = 217,903.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.