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Finding the Third Proportional to 48,511.41 and 106,039.13

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Solution

The third proportional to 48,511.41 and 106,039.13 is: 231,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,511.41 : 106,039.13 = 106,039.13 : x
  2. Step 2: Convert to fraction form
    48,511.41/106,039.13 = 106,039.13/x
  3. Step 3: Cross multiply
    48,511.41x = 106,039.13 × 106,039.13
  4. Step 4: Simplify right side
    48,511.41x = 11,244,296,030.77
  5. Step 5: Solve for x
    x = 11,244,296,030.77/48,511.41
  6. Step 6: Final answer
    x = 231,786.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.