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Finding the Third Proportional to 91,798.31 and 140,337.56

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Solution

The third proportional to 91,798.31 and 140,337.56 is: 214,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,798.31 : 140,337.56 = 140,337.56 : x
  2. Step 2: Convert to fraction form
    91,798.31/140,337.56 = 140,337.56/x
  3. Step 3: Cross multiply
    91,798.31x = 140,337.56 × 140,337.56
  4. Step 4: Simplify right side
    91,798.31x = 19,694,631,448.44
  5. Step 5: Solve for x
    x = 19,694,631,448.44/91,798.31
  6. Step 6: Final answer
    x = 214,542.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.