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Finding the Third Proportional to 103,931 and 222,078

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Solution

The third proportional to 103,931 and 222,078 is: 474,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,931 : 222,078 = 222,078 : x
  2. Step 2: Convert to fraction form
    103,931/222,078 = 222,078/x
  3. Step 3: Cross multiply
    103,931x = 222,078 × 222,078
  4. Step 4: Simplify right side
    103,931x = 49,318,638,084
  5. Step 5: Solve for x
    x = 49,318,638,084/103,931
  6. Step 6: Final answer
    x = 474,532.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.