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Finding the Third Proportional to 89,148 and 195,790

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Solution

The third proportional to 89,148 and 195,790 is: 430,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,148 : 195,790 = 195,790 : x
  2. Step 2: Convert to fraction form
    89,148/195,790 = 195,790/x
  3. Step 3: Cross multiply
    89,148x = 195,790 × 195,790
  4. Step 4: Simplify right side
    89,148x = 38,333,724,100
  5. Step 5: Solve for x
    x = 38,333,724,100/89,148
  6. Step 6: Final answer
    x = 430,000.94

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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.