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Finding the Third Proportional to 48,844.13 and 106,436.25

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Solution

The third proportional to 48,844.13 and 106,436.25 is: 231,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,844.13 : 106,436.25 = 106,436.25 : x
  2. Step 2: Convert to fraction form
    48,844.13/106,436.25 = 106,436.25/x
  3. Step 3: Cross multiply
    48,844.13x = 106,436.25 × 106,436.25
  4. Step 4: Simplify right side
    48,844.13x = 11,328,675,314.06
  5. Step 5: Solve for x
    x = 11,328,675,314.06/48,844.13
  6. Step 6: Final answer
    x = 231,935.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.