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Finding the Third Proportional to 100,256.24 and 222,928.03

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Solution

The third proportional to 100,256.24 and 222,928.03 is: 495,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,256.24 : 222,928.03 = 222,928.03 : x
  2. Step 2: Convert to fraction form
    100,256.24/222,928.03 = 222,928.03/x
  3. Step 3: Cross multiply
    100,256.24x = 222,928.03 × 222,928.03
  4. Step 4: Simplify right side
    100,256.24x = 49,696,907,117.00
  5. Step 5: Solve for x
    x = 49,696,907,117.00/100,256.24
  6. Step 6: Final answer
    x = 495,698.90

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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.