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Finding the Third Proportional to 107,190 and 229,932

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Solution

The third proportional to 107,190 and 229,932 is: 493,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,190 : 229,932 = 229,932 : x
  2. Step 2: Convert to fraction form
    107,190/229,932 = 229,932/x
  3. Step 3: Cross multiply
    107,190x = 229,932 × 229,932
  4. Step 4: Simplify right side
    107,190x = 52,868,724,624
  5. Step 5: Solve for x
    x = 52,868,724,624/107,190
  6. Step 6: Final answer
    x = 493,224.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.