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Finding the Third Proportional to 86,886 and 190,395

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Solution

The third proportional to 86,886 and 190,395 is: 417,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,886 : 190,395 = 190,395 : x
  2. Step 2: Convert to fraction form
    86,886/190,395 = 190,395/x
  3. Step 3: Cross multiply
    86,886x = 190,395 × 190,395
  4. Step 4: Simplify right side
    86,886x = 36,250,256,025
  5. Step 5: Solve for x
    x = 36,250,256,025/86,886
  6. Step 6: Final answer
    x = 417,216.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.