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Finding the Third Proportional to 45,557.44 and 99,969.19

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Solution

The third proportional to 45,557.44 and 99,969.19 is: 219,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,557.44 : 99,969.19 = 99,969.19 : x
  2. Step 2: Convert to fraction form
    45,557.44/99,969.19 = 99,969.19/x
  3. Step 3: Cross multiply
    45,557.44x = 99,969.19 × 99,969.19
  4. Step 4: Simplify right side
    45,557.44x = 9,993,838,449.41
  5. Step 5: Solve for x
    x = 9,993,838,449.41/45,557.44
  6. Step 6: Final answer
    x = 219,367.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.