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Finding the Third Proportional to 100,213 and 208,690

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Solution

The third proportional to 100,213 and 208,690 is: 434,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213 : 208,690 = 208,690 : x
  2. Step 2: Convert to fraction form
    100,213/208,690 = 208,690/x
  3. Step 3: Cross multiply
    100,213x = 208,690 × 208,690
  4. Step 4: Simplify right side
    100,213x = 43,551,516,100
  5. Step 5: Solve for x
    x = 43,551,516,100/100,213
  6. Step 6: Final answer
    x = 434,589.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.