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Finding the Third Proportional to 86,517.84 and 186,836.06

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Solution

The third proportional to 86,517.84 and 186,836.06 is: 403,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,517.84 : 186,836.06 = 186,836.06 : x
  2. Step 2: Convert to fraction form
    86,517.84/186,836.06 = 186,836.06/x
  3. Step 3: Cross multiply
    86,517.84x = 186,836.06 × 186,836.06
  4. Step 4: Simplify right side
    86,517.84x = 34,907,714,250.50
  5. Step 5: Solve for x
    x = 34,907,714,250.50/86,517.84
  6. Step 6: Final answer
    x = 403,474.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.