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Finding the Third Proportional to 46,864 and 102,944

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Solution

The third proportional to 46,864 and 102,944 is: 226,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,864 : 102,944 = 102,944 : x
  2. Step 2: Convert to fraction form
    46,864/102,944 = 102,944/x
  3. Step 3: Cross multiply
    46,864x = 102,944 × 102,944
  4. Step 4: Simplify right side
    46,864x = 10,597,467,136
  5. Step 5: Solve for x
    x = 10,597,467,136/46,864
  6. Step 6: Final answer
    x = 226,132.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.