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Finding the Third Proportional to 38,190.38 and 83,761.88

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Solution

The third proportional to 38,190.38 and 83,761.88 is: 183,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,190.38 : 83,761.88 = 83,761.88 : x
  2. Step 2: Convert to fraction form
    38,190.38/83,761.88 = 83,761.88/x
  3. Step 3: Cross multiply
    38,190.38x = 83,761.88 × 83,761.88
  4. Step 4: Simplify right side
    38,190.38x = 7,016,051,703.52
  5. Step 5: Solve for x
    x = 7,016,051,703.52/38,190.38
  6. Step 6: Final answer
    x = 183,712.56

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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.