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Finding the Third Proportional to 99,651 and 166,084.50

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Solution

The third proportional to 99,651 and 166,084.50 is: 276,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,651 : 166,084.50 = 166,084.50 : x
  2. Step 2: Convert to fraction form
    99,651/166,084.50 = 166,084.50/x
  3. Step 3: Cross multiply
    99,651x = 166,084.50 × 166,084.50
  4. Step 4: Simplify right side
    99,651x = 27,584,061,140.25
  5. Step 5: Solve for x
    x = 27,584,061,140.25/99,651
  6. Step 6: Final answer
    x = 276,806.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.