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Finding the Third Proportional to 86,035.50 and 185,908.50

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Solution

The third proportional to 86,035.50 and 185,908.50 is: 401,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,035.50 : 185,908.50 = 185,908.50 : x
  2. Step 2: Convert to fraction form
    86,035.50/185,908.50 = 185,908.50/x
  3. Step 3: Cross multiply
    86,035.50x = 185,908.50 × 185,908.50
  4. Step 4: Simplify right side
    86,035.50x = 34,561,970,372.25
  5. Step 5: Solve for x
    x = 34,561,970,372.25/86,035.50
  6. Step 6: Final answer
    x = 401,717.55

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