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Finding the Third Proportional to 94,650 and 203,880

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Solution

The third proportional to 94,650 and 203,880 is: 439,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,650 : 203,880 = 203,880 : x
  2. Step 2: Convert to fraction form
    94,650/203,880 = 203,880/x
  3. Step 3: Cross multiply
    94,650x = 203,880 × 203,880
  4. Step 4: Simplify right side
    94,650x = 41,567,054,400
  5. Step 5: Solve for x
    x = 41,567,054,400/94,650
  6. Step 6: Final answer
    x = 439,165.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.