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Finding the Third Proportional to 90,318.94 and 140,648.06

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Solution

The third proportional to 90,318.94 and 140,648.06 is: 219,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,318.94 : 140,648.06 = 140,648.06 : x
  2. Step 2: Convert to fraction form
    90,318.94/140,648.06 = 140,648.06/x
  3. Step 3: Cross multiply
    90,318.94x = 140,648.06 × 140,648.06
  4. Step 4: Simplify right side
    90,318.94x = 19,781,877,485.00
  5. Step 5: Solve for x
    x = 19,781,877,485.00/90,318.94
  6. Step 6: Final answer
    x = 219,022.48

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.