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Finding the Third Proportional to 89,980.50 and 196,910

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Solution

The third proportional to 89,980.50 and 196,910 is: 430,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,980.50 : 196,910 = 196,910 : x
  2. Step 2: Convert to fraction form
    89,980.50/196,910 = 196,910/x
  3. Step 3: Cross multiply
    89,980.50x = 196,910 × 196,910
  4. Step 4: Simplify right side
    89,980.50x = 38,773,548,100
  5. Step 5: Solve for x
    x = 38,773,548,100/89,980.50
  6. Step 6: Final answer
    x = 430,910.57

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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.