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Finding the Third Proportional to 45,190.13 and 99,245.25

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Solution

The third proportional to 45,190.13 and 99,245.25 is: 217,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,190.13 : 99,245.25 = 99,245.25 : x
  2. Step 2: Convert to fraction form
    45,190.13/99,245.25 = 99,245.25/x
  3. Step 3: Cross multiply
    45,190.13x = 99,245.25 × 99,245.25
  4. Step 4: Simplify right side
    45,190.13x = 9,849,619,647.56
  5. Step 5: Solve for x
    x = 9,849,619,647.56/45,190.13
  6. Step 6: Final answer
    x = 217,959.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.