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Finding the Third Proportional to 38,200.69 and 84,016.13

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Solution

The third proportional to 38,200.69 and 84,016.13 is: 184,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.69 : 84,016.13 = 84,016.13 : x
  2. Step 2: Convert to fraction form
    38,200.69/84,016.13 = 84,016.13/x
  3. Step 3: Cross multiply
    38,200.69x = 84,016.13 × 84,016.13
  4. Step 4: Simplify right side
    38,200.69x = 7,058,709,260.02
  5. Step 5: Solve for x
    x = 7,058,709,260.02/38,200.69
  6. Step 6: Final answer
    x = 184,779.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.