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Finding the Third Proportional to 94,970 and 203,116

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Solution

The third proportional to 94,970 and 203,116 is: 434,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,970 : 203,116 = 203,116 : x
  2. Step 2: Convert to fraction form
    94,970/203,116 = 203,116/x
  3. Step 3: Cross multiply
    94,970x = 203,116 × 203,116
  4. Step 4: Simplify right side
    94,970x = 41,256,109,456
  5. Step 5: Solve for x
    x = 41,256,109,456/94,970
  6. Step 6: Final answer
    x = 434,412.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.