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Finding the Third Proportional to 38,834.44 and 83,804.63

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Solution

The third proportional to 38,834.44 and 83,804.63 is: 180,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,834.44 : 83,804.63 = 83,804.63 : x
  2. Step 2: Convert to fraction form
    38,834.44/83,804.63 = 83,804.63/x
  3. Step 3: Cross multiply
    38,834.44x = 83,804.63 × 83,804.63
  4. Step 4: Simplify right side
    38,834.44x = 7,023,215,171.39
  5. Step 5: Solve for x
    x = 7,023,215,171.39/38,834.44
  6. Step 6: Final answer
    x = 180,850.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.