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Finding the Third Proportional to 96,855 and 210,864

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Solution

The third proportional to 96,855 and 210,864 is: 459,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,855 : 210,864 = 210,864 : x
  2. Step 2: Convert to fraction form
    96,855/210,864 = 210,864/x
  3. Step 3: Cross multiply
    96,855x = 210,864 × 210,864
  4. Step 4: Simplify right side
    96,855x = 44,463,626,496
  5. Step 5: Solve for x
    x = 44,463,626,496/96,855
  6. Step 6: Final answer
    x = 459,074.15

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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.