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Finding the Third Proportional to 48,077.25 and 105,202.88

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Solution

The third proportional to 48,077.25 and 105,202.88 is: 230,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,077.25 : 105,202.88 = 105,202.88 : x
  2. Step 2: Convert to fraction form
    48,077.25/105,202.88 = 105,202.88/x
  3. Step 3: Cross multiply
    48,077.25x = 105,202.88 × 105,202.88
  4. Step 4: Simplify right side
    48,077.25x = 11,067,644,908.27
  5. Step 5: Solve for x
    x = 11,067,644,908.27/48,077.25
  6. Step 6: Final answer
    x = 230,205.45

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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.