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Finding the Third Proportional to 41,597.53 and 91,066.69

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Solution

The third proportional to 41,597.53 and 91,066.69 is: 199,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,597.53 : 91,066.69 = 91,066.69 : x
  2. Step 2: Convert to fraction form
    41,597.53/91,066.69 = 91,066.69/x
  3. Step 3: Cross multiply
    41,597.53x = 91,066.69 × 91,066.69
  4. Step 4: Simplify right side
    41,597.53x = 8,293,141,572.22
  5. Step 5: Solve for x
    x = 8,293,141,572.22/41,597.53
  6. Step 6: Final answer
    x = 199,366.20

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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.