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Finding the Third Proportional to 66,914.44 and 148,591.13

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Solution

The third proportional to 66,914.44 and 148,591.13 is: 329,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,914.44 : 148,591.13 = 148,591.13 : x
  2. Step 2: Convert to fraction form
    66,914.44/148,591.13 = 148,591.13/x
  3. Step 3: Cross multiply
    66,914.44x = 148,591.13 × 148,591.13
  4. Step 4: Simplify right side
    66,914.44x = 22,079,322,428.77
  5. Step 5: Solve for x
    x = 22,079,322,428.77/66,914.44
  6. Step 6: Final answer
    x = 329,963.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.