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Finding the Third Proportional to 169,790,176 and 363,806,912

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Solution

The third proportional to 169,790,176 and 363,806,912 is: 779,523,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,790,176 : 363,806,912 = 363,806,912 : x
  2. Step 2: Convert to fraction form
    169,790,176/363,806,912 = 363,806,912/x
  3. Step 3: Cross multiply
    169,790,176x = 363,806,912 × 363,806,912
  4. Step 4: Simplify right side
    169,790,176x = 132,355,469,218,975,744
  5. Step 5: Solve for x
    x = 132,355,469,218,975,744/169,790,176
  6. Step 6: Final answer
    x = 779,523,717.67

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Why These Related Problems?

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