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Finding the Third Proportional to 45,187.88 and 99,240.75

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Solution

The third proportional to 45,187.88 and 99,240.75 is: 217,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,187.88 : 99,240.75 = 99,240.75 : x
  2. Step 2: Convert to fraction form
    45,187.88/99,240.75 = 99,240.75/x
  3. Step 3: Cross multiply
    45,187.88x = 99,240.75 × 99,240.75
  4. Step 4: Simplify right side
    45,187.88x = 9,848,726,460.56
  5. Step 5: Solve for x
    x = 9,848,726,460.56/45,187.88
  6. Step 6: Final answer
    x = 217,950.64

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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.