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Finding the Third Proportional to 89,268.33 and 138,310.66

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Solution

The third proportional to 89,268.33 and 138,310.66 is: 214,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,268.33 : 138,310.66 = 138,310.66 : x
  2. Step 2: Convert to fraction form
    89,268.33/138,310.66 = 138,310.66/x
  3. Step 3: Cross multiply
    89,268.33x = 138,310.66 × 138,310.66
  4. Step 4: Simplify right side
    89,268.33x = 19,129,839,793.41
  5. Step 5: Solve for x
    x = 19,129,839,793.41/89,268.33
  6. Step 6: Final answer
    x = 214,295.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.