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Finding the Third Proportional to 103,694 and 222,148

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Solution

The third proportional to 103,694 and 222,148 is: 475,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694 : 222,148 = 222,148 : x
  2. Step 2: Convert to fraction form
    103,694/222,148 = 222,148/x
  3. Step 3: Cross multiply
    103,694x = 222,148 × 222,148
  4. Step 4: Simplify right side
    103,694x = 49,349,733,904
  5. Step 5: Solve for x
    x = 49,349,733,904/103,694
  6. Step 6: Final answer
    x = 475,916.97

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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.