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Finding the Third Proportional to 48,448.13 and 102,682.69

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Solution

The third proportional to 48,448.13 and 102,682.69 is: 217,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448.13 : 102,682.69 = 102,682.69 : x
  2. Step 2: Convert to fraction form
    48,448.13/102,682.69 = 102,682.69/x
  3. Step 3: Cross multiply
    48,448.13x = 102,682.69 × 102,682.69
  4. Step 4: Simplify right side
    48,448.13x = 10,543,734,312.22
  5. Step 5: Solve for x
    x = 10,543,734,312.22/48,448.13
  6. Step 6: Final answer
    x = 217,629.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.