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Finding the Third Proportional to 96,168 and 210,477

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Solution

The third proportional to 96,168 and 210,477 is: 460,658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,168 : 210,477 = 210,477 : x
  2. Step 2: Convert to fraction form
    96,168/210,477 = 210,477/x
  3. Step 3: Cross multiply
    96,168x = 210,477 × 210,477
  4. Step 4: Simplify right side
    96,168x = 44,300,567,529
  5. Step 5: Solve for x
    x = 44,300,567,529/96,168
  6. Step 6: Final answer
    x = 460,658.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.