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Finding the Third Proportional to 48,535.03 and 99,422.02

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Solution

The third proportional to 48,535.03 and 99,422.02 is: 203,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,535.03 : 99,422.02 = 99,422.02 : x
  2. Step 2: Convert to fraction form
    48,535.03/99,422.02 = 99,422.02/x
  3. Step 3: Cross multiply
    48,535.03x = 99,422.02 × 99,422.02
  4. Step 4: Simplify right side
    48,535.03x = 9,884,737,190.94
  5. Step 5: Solve for x
    x = 9,884,737,190.94/48,535.03
  6. Step 6: Final answer
    x = 203,661.91

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.