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Finding the Third Proportional to 48,653.16 and 106,891.31

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Solution

The third proportional to 48,653.16 and 106,891.31 is: 234,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,653.16 : 106,891.31 = 106,891.31 : x
  2. Step 2: Convert to fraction form
    48,653.16/106,891.31 = 106,891.31/x
  3. Step 3: Cross multiply
    48,653.16x = 106,891.31 × 106,891.31
  4. Step 4: Simplify right side
    48,653.16x = 11,425,752,687.97
  5. Step 5: Solve for x
    x = 11,425,752,687.97/48,653.16
  6. Step 6: Final answer
    x = 234,840.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.