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Finding the Third Proportional to 41,774.81 and 90,208.13

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Solution

The third proportional to 41,774.81 and 90,208.13 is: 194,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,774.81 : 90,208.13 = 90,208.13 : x
  2. Step 2: Convert to fraction form
    41,774.81/90,208.13 = 90,208.13/x
  3. Step 3: Cross multiply
    41,774.81x = 90,208.13 × 90,208.13
  4. Step 4: Simplify right side
    41,774.81x = 8,137,505,816.02
  5. Step 5: Solve for x
    x = 8,137,505,816.02/41,774.81
  6. Step 6: Final answer
    x = 194,794.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.