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Finding the Third Proportional to 83,134.69 and 182,352.09

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Solution

The third proportional to 83,134.69 and 182,352.09 is: 399,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,134.69 : 182,352.09 = 182,352.09 : x
  2. Step 2: Convert to fraction form
    83,134.69/182,352.09 = 182,352.09/x
  3. Step 3: Cross multiply
    83,134.69x = 182,352.09 × 182,352.09
  4. Step 4: Simplify right side
    83,134.69x = 33,252,286,095.01
  5. Step 5: Solve for x
    x = 33,252,286,095.01/83,134.69
  6. Step 6: Final answer
    x = 399,980.89

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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.