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Finding the Third Proportional to 104,114 and 222,430

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Solution

The third proportional to 104,114 and 222,430 is: 475,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,114 : 222,430 = 222,430 : x
  2. Step 2: Convert to fraction form
    104,114/222,430 = 222,430/x
  3. Step 3: Cross multiply
    104,114x = 222,430 × 222,430
  4. Step 4: Simplify right side
    104,114x = 49,475,104,900
  5. Step 5: Solve for x
    x = 49,475,104,900/104,114
  6. Step 6: Final answer
    x = 475,201.27

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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.