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Finding the Third Proportional to 96,855 and 210,865

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Solution

The third proportional to 96,855 and 210,865 is: 459,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,855 : 210,865 = 210,865 : x
  2. Step 2: Convert to fraction form
    96,855/210,865 = 210,865/x
  3. Step 3: Cross multiply
    96,855x = 210,865 × 210,865
  4. Step 4: Simplify right side
    96,855x = 44,464,048,225
  5. Step 5: Solve for x
    x = 44,464,048,225/96,855
  6. Step 6: Final answer
    x = 459,078.50

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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.