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Finding the Third Proportional to 94,042.41 and 203,423.77

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Solution

The third proportional to 94,042.41 and 203,423.77 is: 440,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,042.41 : 203,423.77 = 203,423.77 : x
  2. Step 2: Convert to fraction form
    94,042.41/203,423.77 = 203,423.77/x
  3. Step 3: Cross multiply
    94,042.41x = 203,423.77 × 203,423.77
  4. Step 4: Simplify right side
    94,042.41x = 41,381,228,421.05
  5. Step 5: Solve for x
    x = 41,381,228,421.05/94,042.41
  6. Step 6: Final answer
    x = 440,027.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.