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Finding the Third Proportional to 94,655 and 203,890

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Solution

The third proportional to 94,655 and 203,890 is: 439,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,655 : 203,890 = 203,890 : x
  2. Step 2: Convert to fraction form
    94,655/203,890 = 203,890/x
  3. Step 3: Cross multiply
    94,655x = 203,890 × 203,890
  4. Step 4: Simplify right side
    94,655x = 41,571,132,100
  5. Step 5: Solve for x
    x = 41,571,132,100/94,655
  6. Step 6: Final answer
    x = 439,185.80

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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.