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Finding the Third Proportional to 94,316.50 and 206,123

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Solution

The third proportional to 94,316.50 and 206,123 is: 450,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,316.50 : 206,123 = 206,123 : x
  2. Step 2: Convert to fraction form
    94,316.50/206,123 = 206,123/x
  3. Step 3: Cross multiply
    94,316.50x = 206,123 × 206,123
  4. Step 4: Simplify right side
    94,316.50x = 42,486,691,129
  5. Step 5: Solve for x
    x = 42,486,691,129/94,316.50
  6. Step 6: Final answer
    x = 450,469.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.