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Finding the Third Proportional to 92,880 and 196,800

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Solution

The third proportional to 92,880 and 196,800 is: 416,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,880 : 196,800 = 196,800 : x
  2. Step 2: Convert to fraction form
    92,880/196,800 = 196,800/x
  3. Step 3: Cross multiply
    92,880x = 196,800 × 196,800
  4. Step 4: Simplify right side
    92,880x = 38,730,240,000
  5. Step 5: Solve for x
    x = 38,730,240,000/92,880
  6. Step 6: Final answer
    x = 416,992.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.