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Finding the Third Proportional to 103,050 and 222,894

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Solution

The third proportional to 103,050 and 222,894 is: 482,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,050 : 222,894 = 222,894 : x
  2. Step 2: Convert to fraction form
    103,050/222,894 = 222,894/x
  3. Step 3: Cross multiply
    103,050x = 222,894 × 222,894
  4. Step 4: Simplify right side
    103,050x = 49,681,735,236
  5. Step 5: Solve for x
    x = 49,681,735,236/103,050
  6. Step 6: Final answer
    x = 482,112.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.