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Finding the Third Proportional to 107,222 and 229,168

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Solution

The third proportional to 107,222 and 229,168 is: 489,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,222 : 229,168 = 229,168 : x
  2. Step 2: Convert to fraction form
    107,222/229,168 = 229,168/x
  3. Step 3: Cross multiply
    107,222x = 229,168 × 229,168
  4. Step 4: Simplify right side
    107,222x = 52,517,972,224
  5. Step 5: Solve for x
    x = 52,517,972,224/107,222
  6. Step 6: Final answer
    x = 489,805.94

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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.