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Finding the Third Proportional to 36,100.69 and 86,963.63

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Solution

The third proportional to 36,100.69 and 86,963.63 is: 209,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,100.69 : 86,963.63 = 86,963.63 : x
  2. Step 2: Convert to fraction form
    36,100.69/86,963.63 = 86,963.63/x
  3. Step 3: Cross multiply
    36,100.69x = 86,963.63 × 86,963.63
  4. Step 4: Simplify right side
    36,100.69x = 7,562,672,073.14
  5. Step 5: Solve for x
    x = 7,562,672,073.14/36,100.69
  6. Step 6: Final answer
    x = 209,488.31

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.