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Finding the Third Proportional to 89,728.31 and 197,145.56

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Solution

The third proportional to 89,728.31 and 197,145.56 is: 433,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,728.31 : 197,145.56 = 197,145.56 : x
  2. Step 2: Convert to fraction form
    89,728.31/197,145.56 = 197,145.56/x
  3. Step 3: Cross multiply
    89,728.31x = 197,145.56 × 197,145.56
  4. Step 4: Simplify right side
    89,728.31x = 38,866,372,813.44
  5. Step 5: Solve for x
    x = 38,866,372,813.44/89,728.31
  6. Step 6: Final answer
    x = 433,156.18

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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.