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Finding the Third Proportional to 36,537.33 and 80,186.63

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Solution

The third proportional to 36,537.33 and 80,186.63 is: 175,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,537.33 : 80,186.63 = 80,186.63 : x
  2. Step 2: Convert to fraction form
    36,537.33/80,186.63 = 80,186.63/x
  3. Step 3: Cross multiply
    36,537.33x = 80,186.63 × 80,186.63
  4. Step 4: Simplify right side
    36,537.33x = 6,429,894,828.89
  5. Step 5: Solve for x
    x = 6,429,894,828.89/36,537.33
  6. Step 6: Final answer
    x = 175,981.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.