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Finding the Third Proportional to 38,488.92 and 84,188.11

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Solution

The third proportional to 38,488.92 and 84,188.11 is: 184,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,488.92 : 84,188.11 = 84,188.11 : x
  2. Step 2: Convert to fraction form
    38,488.92/84,188.11 = 84,188.11/x
  3. Step 3: Cross multiply
    38,488.92x = 84,188.11 × 84,188.11
  4. Step 4: Simplify right side
    38,488.92x = 7,087,637,760.14
  5. Step 5: Solve for x
    x = 7,087,637,760.14/38,488.92
  6. Step 6: Final answer
    x = 184,147.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.