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Finding the Third Proportional to 89,318.25 and 138,238.88

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Solution

The third proportional to 89,318.25 and 138,238.88 is: 213,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,318.25 : 138,238.88 = 138,238.88 : x
  2. Step 2: Convert to fraction form
    89,318.25/138,238.88 = 138,238.88/x
  3. Step 3: Cross multiply
    89,318.25x = 138,238.88 × 138,238.88
  4. Step 4: Simplify right side
    89,318.25x = 19,109,986,561.27
  5. Step 5: Solve for x
    x = 19,109,986,561.27/89,318.25
  6. Step 6: Final answer
    x = 213,953.88

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