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Finding the Third Proportional to 36,495.56 and 83,721.09

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Solution

The third proportional to 36,495.56 and 83,721.09 is: 192,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,495.56 : 83,721.09 = 83,721.09 : x
  2. Step 2: Convert to fraction form
    36,495.56/83,721.09 = 83,721.09/x
  3. Step 3: Cross multiply
    36,495.56x = 83,721.09 × 83,721.09
  4. Step 4: Simplify right side
    36,495.56x = 7,009,221,538.70
  5. Step 5: Solve for x
    x = 7,009,221,538.70/36,495.56
  6. Step 6: Final answer
    x = 192,056.82

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.