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Finding the Third Proportional to 86,107.69 and 182,458.88

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Solution

The third proportional to 86,107.69 and 182,458.88 is: 386,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,107.69 : 182,458.88 = 182,458.88 : x
  2. Step 2: Convert to fraction form
    86,107.69/182,458.88 = 182,458.88/x
  3. Step 3: Cross multiply
    86,107.69x = 182,458.88 × 182,458.88
  4. Step 4: Simplify right side
    86,107.69x = 33,291,241,066.27
  5. Step 5: Solve for x
    x = 33,291,241,066.27/86,107.69
  6. Step 6: Final answer
    x = 386,623.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.