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Finding the Third Proportional to 147,664.69 and 222,847.88

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Solution

The third proportional to 147,664.69 and 222,847.88 is: 336,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,664.69 : 222,847.88 = 222,847.88 : x
  2. Step 2: Convert to fraction form
    147,664.69/222,847.88 = 222,847.88/x
  3. Step 3: Cross multiply
    147,664.69x = 222,847.88 × 222,847.88
  4. Step 4: Simplify right side
    147,664.69x = 49,661,175,392.02
  5. Step 5: Solve for x
    x = 49,661,175,392.02/147,664.69
  6. Step 6: Final answer
    x = 336,310.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.