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Finding the Third Proportional to 45,618.75 and 100,118.81

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Solution

The third proportional to 45,618.75 and 100,118.81 is: 219,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,618.75 : 100,118.81 = 100,118.81 : x
  2. Step 2: Convert to fraction form
    45,618.75/100,118.81 = 100,118.81/x
  3. Step 3: Cross multiply
    45,618.75x = 100,118.81 × 100,118.81
  4. Step 4: Simplify right side
    45,618.75x = 10,023,776,616.41
  5. Step 5: Solve for x
    x = 10,023,776,616.41/45,618.75
  6. Step 6: Final answer
    x = 219,729.31

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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.