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Finding the Third Proportional to 89,709 and 188,711

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Solution

The third proportional to 89,709 and 188,711 is: 396,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,709 : 188,711 = 188,711 : x
  2. Step 2: Convert to fraction form
    89,709/188,711 = 188,711/x
  3. Step 3: Cross multiply
    89,709x = 188,711 × 188,711
  4. Step 4: Simplify right side
    89,709x = 35,611,841,521
  5. Step 5: Solve for x
    x = 35,611,841,521/89,709
  6. Step 6: Final answer
    x = 396,970.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.