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Finding the Third Proportional to 48,146.91 and 107,357.91

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Solution

The third proportional to 48,146.91 and 107,357.91 is: 239,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,146.91 : 107,357.91 = 107,357.91 : x
  2. Step 2: Convert to fraction form
    48,146.91/107,357.91 = 107,357.91/x
  3. Step 3: Cross multiply
    48,146.91x = 107,357.91 × 107,357.91
  4. Step 4: Simplify right side
    48,146.91x = 11,525,720,034.38
  5. Step 5: Solve for x
    x = 11,525,720,034.38/48,146.91
  6. Step 6: Final answer
    x = 239,386.51

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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.