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Finding the Third Proportional to 86,016.94 and 183,108.09

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Solution

The third proportional to 86,016.94 and 183,108.09 is: 389,790.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,016.94 : 183,108.09 = 183,108.09 : x
  2. Step 2: Convert to fraction form
    86,016.94/183,108.09 = 183,108.09/x
  3. Step 3: Cross multiply
    86,016.94x = 183,108.09 × 183,108.09
  4. Step 4: Simplify right side
    86,016.94x = 33,528,573,996.76
  5. Step 5: Solve for x
    x = 33,528,573,996.76/86,016.94
  6. Step 6: Final answer
    x = 389,790.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.