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Finding the Third Proportional to 85,870.13 and 188,279.44

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Solution

The third proportional to 85,870.13 and 188,279.44 is: 412,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,870.13 : 188,279.44 = 188,279.44 : x
  2. Step 2: Convert to fraction form
    85,870.13/188,279.44 = 188,279.44/x
  3. Step 3: Cross multiply
    85,870.13x = 188,279.44 × 188,279.44
  4. Step 4: Simplify right side
    85,870.13x = 35,449,146,585.32
  5. Step 5: Solve for x
    x = 35,449,146,585.32/85,870.13
  6. Step 6: Final answer
    x = 412,822.81

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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.