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Finding the Third Proportional to 99,780 and 210,799

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Solution

The third proportional to 99,780 and 210,799 is: 445,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,780 : 210,799 = 210,799 : x
  2. Step 2: Convert to fraction form
    99,780/210,799 = 210,799/x
  3. Step 3: Cross multiply
    99,780x = 210,799 × 210,799
  4. Step 4: Simplify right side
    99,780x = 44,436,218,401
  5. Step 5: Solve for x
    x = 44,436,218,401/99,780
  6. Step 6: Final answer
    x = 445,341.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.