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Finding the Third Proportional to 103,690.50 and 222,068

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Solution

The third proportional to 103,690.50 and 222,068 is: 475,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690.50 : 222,068 = 222,068 : x
  2. Step 2: Convert to fraction form
    103,690.50/222,068 = 222,068/x
  3. Step 3: Cross multiply
    103,690.50x = 222,068 × 222,068
  4. Step 4: Simplify right side
    103,690.50x = 49,314,196,624
  5. Step 5: Solve for x
    x = 49,314,196,624/103,690.50
  6. Step 6: Final answer
    x = 475,590.31

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