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Finding the Third Proportional to 89,314.50 and 190,911

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Solution

The third proportional to 89,314.50 and 190,911 is: 408,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,314.50 : 190,911 = 190,911 : x
  2. Step 2: Convert to fraction form
    89,314.50/190,911 = 190,911/x
  3. Step 3: Cross multiply
    89,314.50x = 190,911 × 190,911
  4. Step 4: Simplify right side
    89,314.50x = 36,447,009,921
  5. Step 5: Solve for x
    x = 36,447,009,921/89,314.50
  6. Step 6: Final answer
    x = 408,074.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.