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Finding the Third Proportional to 94,861.50 and 209,817

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Solution

The third proportional to 94,861.50 and 209,817 is: 464,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,861.50 : 209,817 = 209,817 : x
  2. Step 2: Convert to fraction form
    94,861.50/209,817 = 209,817/x
  3. Step 3: Cross multiply
    94,861.50x = 209,817 × 209,817
  4. Step 4: Simplify right side
    94,861.50x = 44,023,173,489
  5. Step 5: Solve for x
    x = 44,023,173,489/94,861.50
  6. Step 6: Final answer
    x = 464,078.40

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.