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Finding the Third Proportional to 86,062.50 and 186,418.13

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Solution

The third proportional to 86,062.50 and 186,418.13 is: 403,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,062.50 : 186,418.13 = 186,418.13 : x
  2. Step 2: Convert to fraction form
    86,062.50/186,418.13 = 186,418.13/x
  3. Step 3: Cross multiply
    86,062.50x = 186,418.13 × 186,418.13
  4. Step 4: Simplify right side
    86,062.50x = 34,751,717,328.52
  5. Step 5: Solve for x
    x = 34,751,717,328.52/86,062.50
  6. Step 6: Final answer
    x = 403,796.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.