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Finding the Third Proportional to 100,262.25 and 222,938.25

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Solution

The third proportional to 100,262.25 and 222,938.25 is: 495,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,262.25 : 222,938.25 = 222,938.25 : x
  2. Step 2: Convert to fraction form
    100,262.25/222,938.25 = 222,938.25/x
  3. Step 3: Cross multiply
    100,262.25x = 222,938.25 × 222,938.25
  4. Step 4: Simplify right side
    100,262.25x = 49,701,463,313.06
  5. Step 5: Solve for x
    x = 49,701,463,313.06/100,262.25
  6. Step 6: Final answer
    x = 495,714.62

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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.