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Finding the Third Proportional to 94,234.50 and 205,090

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Solution

The third proportional to 94,234.50 and 205,090 is: 446,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,234.50 : 205,090 = 205,090 : x
  2. Step 2: Convert to fraction form
    94,234.50/205,090 = 205,090/x
  3. Step 3: Cross multiply
    94,234.50x = 205,090 × 205,090
  4. Step 4: Simplify right side
    94,234.50x = 42,061,908,100
  5. Step 5: Solve for x
    x = 42,061,908,100/94,234.50
  6. Step 6: Final answer
    x = 446,353.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.