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Finding the Third Proportional to 50,194.13 and 66,916.69

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Solution

The third proportional to 50,194.13 and 66,916.69 is: 89,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,194.13 : 66,916.69 = 66,916.69 : x
  2. Step 2: Convert to fraction form
    50,194.13/66,916.69 = 66,916.69/x
  3. Step 3: Cross multiply
    50,194.13x = 66,916.69 × 66,916.69
  4. Step 4: Simplify right side
    50,194.13x = 4,477,843,065.97
  5. Step 5: Solve for x
    x = 4,477,843,065.97/50,194.13
  6. Step 6: Final answer
    x = 89,210.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.