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Finding the Third Proportional to 41,860.13 and 90,797.63

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Solution

The third proportional to 41,860.13 and 90,797.63 is: 196,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,860.13 : 90,797.63 = 90,797.63 : x
  2. Step 2: Convert to fraction form
    41,860.13/90,797.63 = 90,797.63/x
  3. Step 3: Cross multiply
    41,860.13x = 90,797.63 × 90,797.63
  4. Step 4: Simplify right side
    41,860.13x = 8,244,208,705.64
  5. Step 5: Solve for x
    x = 8,244,208,705.64/41,860.13
  6. Step 6: Final answer
    x = 196,946.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.