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Finding the Third Proportional to 100,382.63 and 222,908.63

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Solution

The third proportional to 100,382.63 and 222,908.63 is: 494,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382.63 : 222,908.63 = 222,908.63 : x
  2. Step 2: Convert to fraction form
    100,382.63/222,908.63 = 222,908.63/x
  3. Step 3: Cross multiply
    100,382.63x = 222,908.63 × 222,908.63
  4. Step 4: Simplify right side
    100,382.63x = 49,688,255,099.39
  5. Step 5: Solve for x
    x = 49,688,255,099.39/100,382.63
  6. Step 6: Final answer
    x = 494,988.60

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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.