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Finding the Third Proportional to 84,861 and 186,664.50

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Solution

The third proportional to 84,861 and 186,664.50 is: 410,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,861 : 186,664.50 = 186,664.50 : x
  2. Step 2: Convert to fraction form
    84,861/186,664.50 = 186,664.50/x
  3. Step 3: Cross multiply
    84,861x = 186,664.50 × 186,664.50
  4. Step 4: Simplify right side
    84,861x = 34,843,635,560.25
  5. Step 5: Solve for x
    x = 34,843,635,560.25/84,861
  6. Step 6: Final answer
    x = 410,596.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.