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Finding the Third Proportional to 66,941.44 and 146,731.50

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Solution

The third proportional to 66,941.44 and 146,731.50 is: 321,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,941.44 : 146,731.50 = 146,731.50 : x
  2. Step 2: Convert to fraction form
    66,941.44/146,731.50 = 146,731.50/x
  3. Step 3: Cross multiply
    66,941.44x = 146,731.50 × 146,731.50
  4. Step 4: Simplify right side
    66,941.44x = 21,530,133,092.25
  5. Step 5: Solve for x
    x = 21,530,133,092.25/66,941.44
  6. Step 6: Final answer
    x = 321,626.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.