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Finding the Third Proportional to 103,660 and 222,056

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Solution

The third proportional to 103,660 and 222,056 is: 475,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,660 : 222,056 = 222,056 : x
  2. Step 2: Convert to fraction form
    103,660/222,056 = 222,056/x
  3. Step 3: Cross multiply
    103,660x = 222,056 × 222,056
  4. Step 4: Simplify right side
    103,660x = 49,308,867,136
  5. Step 5: Solve for x
    x = 49,308,867,136/103,660
  6. Step 6: Final answer
    x = 475,678.83

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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.