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Finding the Third Proportional to 103,673 and 222,047

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Solution

The third proportional to 103,673 and 222,047 is: 475,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673 : 222,047 = 222,047 : x
  2. Step 2: Convert to fraction form
    103,673/222,047 = 222,047/x
  3. Step 3: Cross multiply
    103,673x = 222,047 × 222,047
  4. Step 4: Simplify right side
    103,673x = 49,304,870,209
  5. Step 5: Solve for x
    x = 49,304,870,209/103,673
  6. Step 6: Final answer
    x = 475,580.63

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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.