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Finding the Third Proportional to 48,146.06 and 107,356.22

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Solution

The third proportional to 48,146.06 and 107,356.22 is: 239,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,146.06 : 107,356.22 = 107,356.22 : x
  2. Step 2: Convert to fraction form
    48,146.06/107,356.22 = 107,356.22/x
  3. Step 3: Cross multiply
    48,146.06x = 107,356.22 × 107,356.22
  4. Step 4: Simplify right side
    48,146.06x = 11,525,357,704.30
  5. Step 5: Solve for x
    x = 11,525,357,704.30/48,146.06
  6. Step 6: Final answer
    x = 239,383.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.