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Finding the Third Proportional to 107,088 and 226,232

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Solution

The third proportional to 107,088 and 226,232 is: 477,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,088 : 226,232 = 226,232 : x
  2. Step 2: Convert to fraction form
    107,088/226,232 = 226,232/x
  3. Step 3: Cross multiply
    107,088x = 226,232 × 226,232
  4. Step 4: Simplify right side
    107,088x = 51,180,917,824
  5. Step 5: Solve for x
    x = 51,180,917,824/107,088
  6. Step 6: Final answer
    x = 477,933.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.