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Finding the Third Proportional to 48,921.19 and 106,207.31

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Solution

The third proportional to 48,921.19 and 106,207.31 is: 230,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,921.19 : 106,207.31 = 106,207.31 : x
  2. Step 2: Convert to fraction form
    48,921.19/106,207.31 = 106,207.31/x
  3. Step 3: Cross multiply
    48,921.19x = 106,207.31 × 106,207.31
  4. Step 4: Simplify right side
    48,921.19x = 11,279,993,228.47
  5. Step 5: Solve for x
    x = 11,279,993,228.47/48,921.19
  6. Step 6: Final answer
    x = 230,574.80

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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.