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Finding the Third Proportional to 48,146.88 and 107,357.88

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Solution

The third proportional to 48,146.88 and 107,357.88 is: 239,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,146.88 : 107,357.88 = 107,357.88 : x
  2. Step 2: Convert to fraction form
    48,146.88/107,357.88 = 107,357.88/x
  3. Step 3: Cross multiply
    48,146.88x = 107,357.88 × 107,357.88
  4. Step 4: Simplify right side
    48,146.88x = 11,525,713,324.52
  5. Step 5: Solve for x
    x = 11,525,713,324.52/48,146.88
  6. Step 6: Final answer
    x = 239,386.53

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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.