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Finding the Third Proportional to 107,223 and 229,170

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Solution

The third proportional to 107,223 and 229,170 is: 489,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,223 : 229,170 = 229,170 : x
  2. Step 2: Convert to fraction form
    107,223/229,170 = 229,170/x
  3. Step 3: Cross multiply
    107,223x = 229,170 × 229,170
  4. Step 4: Simplify right side
    107,223x = 52,518,888,900
  5. Step 5: Solve for x
    x = 52,518,888,900/107,223
  6. Step 6: Final answer
    x = 489,809.92

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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.