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Finding the Third Proportional to 38,230.31 and 89,948.44

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Solution

The third proportional to 38,230.31 and 89,948.44 is: 211,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.31 : 89,948.44 = 89,948.44 : x
  2. Step 2: Convert to fraction form
    38,230.31/89,948.44 = 89,948.44/x
  3. Step 3: Cross multiply
    38,230.31x = 89,948.44 × 89,948.44
  4. Step 4: Simplify right side
    38,230.31x = 8,090,721,408.69
  5. Step 5: Solve for x
    x = 8,090,721,408.69/38,230.31
  6. Step 6: Final answer
    x = 211,631.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.