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Finding the Third Proportional to 48,534.19 and 99,420.75

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Solution

The third proportional to 48,534.19 and 99,420.75 is: 203,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,534.19 : 99,420.75 = 99,420.75 : x
  2. Step 2: Convert to fraction form
    48,534.19/99,420.75 = 99,420.75/x
  3. Step 3: Cross multiply
    48,534.19x = 99,420.75 × 99,420.75
  4. Step 4: Simplify right side
    48,534.19x = 9,884,485,530.56
  5. Step 5: Solve for x
    x = 9,884,485,530.56/48,534.19
  6. Step 6: Final answer
    x = 203,660.27

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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.