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Finding the Third Proportional to 96,819 and 210,863

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Solution

The third proportional to 96,819 and 210,863 is: 459,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,819 : 210,863 = 210,863 : x
  2. Step 2: Convert to fraction form
    96,819/210,863 = 210,863/x
  3. Step 3: Cross multiply
    96,819x = 210,863 × 210,863
  4. Step 4: Simplify right side
    96,819x = 44,463,204,769
  5. Step 5: Solve for x
    x = 44,463,204,769/96,819
  6. Step 6: Final answer
    x = 459,240.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.