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Finding the Third Proportional to 45,455.06 and 99,171.56

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Solution

The third proportional to 45,455.06 and 99,171.56 is: 216,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,455.06 : 99,171.56 = 99,171.56 : x
  2. Step 2: Convert to fraction form
    45,455.06/99,171.56 = 99,171.56/x
  3. Step 3: Cross multiply
    45,455.06x = 99,171.56 × 99,171.56
  4. Step 4: Simplify right side
    45,455.06x = 9,834,998,808.69
  5. Step 5: Solve for x
    x = 9,834,998,808.69/45,455.06
  6. Step 6: Final answer
    x = 216,367.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.