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Finding the Third Proportional to 100,350 and 209,004.75

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Solution

The third proportional to 100,350 and 209,004.75 is: 435,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,350 : 209,004.75 = 209,004.75 : x
  2. Step 2: Convert to fraction form
    100,350/209,004.75 = 209,004.75/x
  3. Step 3: Cross multiply
    100,350x = 209,004.75 × 209,004.75
  4. Step 4: Simplify right side
    100,350x = 43,682,985,522.56
  5. Step 5: Solve for x
    x = 43,682,985,522.56/100,350
  6. Step 6: Final answer
    x = 435,306.28

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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.