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Finding the Third Proportional to 86,091.75 and 186,018.75

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Solution

The third proportional to 86,091.75 and 186,018.75 is: 401,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,091.75 : 186,018.75 = 186,018.75 : x
  2. Step 2: Convert to fraction form
    86,091.75/186,018.75 = 186,018.75/x
  3. Step 3: Cross multiply
    86,091.75x = 186,018.75 × 186,018.75
  4. Step 4: Simplify right side
    86,091.75x = 34,602,975,351.56
  5. Step 5: Solve for x
    x = 34,602,975,351.56/86,091.75
  6. Step 6: Final answer
    x = 401,931.37

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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.