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Finding the Third Proportional to 45,451.13 and 99,163.13

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Solution

The third proportional to 45,451.13 and 99,163.13 is: 216,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,451.13 : 99,163.13 = 99,163.13 : x
  2. Step 2: Convert to fraction form
    45,451.13/99,163.13 = 99,163.13/x
  3. Step 3: Cross multiply
    45,451.13x = 99,163.13 × 99,163.13
  4. Step 4: Simplify right side
    45,451.13x = 9,833,325,359.77
  5. Step 5: Solve for x
    x = 9,833,325,359.77/45,451.13
  6. Step 6: Final answer
    x = 216,349.44

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Why These Related Problems?

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