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Finding the Third Proportional to 86,982.75 and 183,309.75

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Solution

The third proportional to 86,982.75 and 183,309.75 is: 386,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,982.75 : 183,309.75 = 183,309.75 : x
  2. Step 2: Convert to fraction form
    86,982.75/183,309.75 = 183,309.75/x
  3. Step 3: Cross multiply
    86,982.75x = 183,309.75 × 183,309.75
  4. Step 4: Simplify right side
    86,982.75x = 33,602,464,445.06
  5. Step 5: Solve for x
    x = 33,602,464,445.06/86,982.75
  6. Step 6: Final answer
    x = 386,311.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.