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Finding the Third Proportional to 94,410 and 199,755

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Solution

The third proportional to 94,410 and 199,755 is: 422,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,410 : 199,755 = 199,755 : x
  2. Step 2: Convert to fraction form
    94,410/199,755 = 199,755/x
  3. Step 3: Cross multiply
    94,410x = 199,755 × 199,755
  4. Step 4: Simplify right side
    94,410x = 39,902,060,025
  5. Step 5: Solve for x
    x = 39,902,060,025/94,410
  6. Step 6: Final answer
    x = 422,646.54

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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.