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Finding the Third Proportional to 41,536.13 and 88,971.75

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Solution

The third proportional to 41,536.13 and 88,971.75 is: 190,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536.13 : 88,971.75 = 88,971.75 : x
  2. Step 2: Convert to fraction form
    41,536.13/88,971.75 = 88,971.75/x
  3. Step 3: Cross multiply
    41,536.13x = 88,971.75 × 88,971.75
  4. Step 4: Simplify right side
    41,536.13x = 7,915,972,298.06
  5. Step 5: Solve for x
    x = 7,915,972,298.06/41,536.13
  6. Step 6: Final answer
    x = 190,580.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.