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Finding the Third Proportional to 89,368.31 and 186,087.38

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Solution

The third proportional to 89,368.31 and 186,087.38 is: 387,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,368.31 : 186,087.38 = 186,087.38 : x
  2. Step 2: Convert to fraction form
    89,368.31/186,087.38 = 186,087.38/x
  3. Step 3: Cross multiply
    89,368.31x = 186,087.38 × 186,087.38
  4. Step 4: Simplify right side
    89,368.31x = 34,628,511,134.39
  5. Step 5: Solve for x
    x = 34,628,511,134.39/89,368.31
  6. Step 6: Final answer
    x = 387,480.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.