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Finding the Third Proportional to 96,864 and 210,880

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Solution

The third proportional to 96,864 and 210,880 is: 459,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,864 : 210,880 = 210,880 : x
  2. Step 2: Convert to fraction form
    96,864/210,880 = 210,880/x
  3. Step 3: Cross multiply
    96,864x = 210,880 × 210,880
  4. Step 4: Simplify right side
    96,864x = 44,470,374,400
  5. Step 5: Solve for x
    x = 44,470,374,400/96,864
  6. Step 6: Final answer
    x = 459,101.16

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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.