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Finding the Third Proportional to 89,140.50 and 195,777

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Solution

The third proportional to 89,140.50 and 195,777 is: 429,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,140.50 : 195,777 = 195,777 : x
  2. Step 2: Convert to fraction form
    89,140.50/195,777 = 195,777/x
  3. Step 3: Cross multiply
    89,140.50x = 195,777 × 195,777
  4. Step 4: Simplify right side
    89,140.50x = 38,328,633,729
  5. Step 5: Solve for x
    x = 38,328,633,729/89,140.50
  6. Step 6: Final answer
    x = 429,980.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.