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Finding the Third Proportional to 38,230.13 and 89,947.88

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Solution

The third proportional to 38,230.13 and 89,947.88 is: 211,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.13 : 89,947.88 = 89,947.88 : x
  2. Step 2: Convert to fraction form
    38,230.13/89,947.88 = 89,947.88/x
  3. Step 3: Cross multiply
    38,230.13x = 89,947.88 × 89,947.88
  4. Step 4: Simplify right side
    38,230.13x = 8,090,620,217.02
  5. Step 5: Solve for x
    x = 8,090,620,217.02/38,230.13
  6. Step 6: Final answer
    x = 211,629.45

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