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Finding the Third Proportional to 206,093,176 and 444,470,480.50

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Solution

The third proportional to 206,093,176 and 444,470,480.50 is: 958,566,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,093,176 : 444,470,480.50 = 444,470,480.50 : x
  2. Step 2: Convert to fraction form
    206,093,176/444,470,480.50 = 444,470,480.50/x
  3. Step 3: Cross multiply
    206,093,176x = 444,470,480.50 × 444,470,480.50
  4. Step 4: Simplify right side
    206,093,176x = 197,554,008,035,900,896
  5. Step 5: Solve for x
    x = 197,554,008,035,900,896/206,093,176
  6. Step 6: Final answer
    x = 958,566,469.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.