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Finding the Third Proportional to 86,539.75 and 186,919.50

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Solution

The third proportional to 86,539.75 and 186,919.50 is: 403,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,539.75 : 186,919.50 = 186,919.50 : x
  2. Step 2: Convert to fraction form
    86,539.75/186,919.50 = 186,919.50/x
  3. Step 3: Cross multiply
    86,539.75x = 186,919.50 × 186,919.50
  4. Step 4: Simplify right side
    86,539.75x = 34,938,899,480.25
  5. Step 5: Solve for x
    x = 34,938,899,480.25/86,539.75
  6. Step 6: Final answer
    x = 403,732.38

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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.