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Finding the Third Proportional to 99,904 and 209,041

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Solution

The third proportional to 99,904 and 209,041 is: 437,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,904 : 209,041 = 209,041 : x
  2. Step 2: Convert to fraction form
    99,904/209,041 = 209,041/x
  3. Step 3: Cross multiply
    99,904x = 209,041 × 209,041
  4. Step 4: Simplify right side
    99,904x = 43,698,139,681
  5. Step 5: Solve for x
    x = 43,698,139,681/99,904
  6. Step 6: Final answer
    x = 437,401.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.