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Finding the Third Proportional to 102,309 and 218,828

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Solution

The third proportional to 102,309 and 218,828 is: 468,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,309 : 218,828 = 218,828 : x
  2. Step 2: Convert to fraction form
    102,309/218,828 = 218,828/x
  3. Step 3: Cross multiply
    102,309x = 218,828 × 218,828
  4. Step 4: Simplify right side
    102,309x = 47,885,693,584
  5. Step 5: Solve for x
    x = 47,885,693,584/102,309
  6. Step 6: Final answer
    x = 468,049.67

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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.