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Finding the Third Proportional to 48,979.69 and 106,206.19

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Solution

The third proportional to 48,979.69 and 106,206.19 is: 230,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,979.69 : 106,206.19 = 106,206.19 : x
  2. Step 2: Convert to fraction form
    48,979.69/106,206.19 = 106,206.19/x
  3. Step 3: Cross multiply
    48,979.69x = 106,206.19 × 106,206.19
  4. Step 4: Simplify right side
    48,979.69x = 11,279,754,263.29
  5. Step 5: Solve for x
    x = 11,279,754,263.29/48,979.69
  6. Step 6: Final answer
    x = 230,294.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.