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Finding the Third Proportional to 86,297.63 and 188,283.94

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Solution

The third proportional to 86,297.63 and 188,283.94 is: 410,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,297.63 : 188,283.94 = 188,283.94 : x
  2. Step 2: Convert to fraction form
    86,297.63/188,283.94 = 188,283.94/x
  3. Step 3: Cross multiply
    86,297.63x = 188,283.94 × 188,283.94
  4. Step 4: Simplify right side
    86,297.63x = 35,450,841,120.50
  5. Step 5: Solve for x
    x = 35,450,841,120.50/86,297.63
  6. Step 6: Final answer
    x = 410,797.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.