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Finding the Third Proportional to 196,152,131 and 416,214,022

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Solution

The third proportional to 196,152,131 and 416,214,022 is: 883,162,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,152,131 : 416,214,022 = 416,214,022 : x
  2. Step 2: Convert to fraction form
    196,152,131/416,214,022 = 416,214,022/x
  3. Step 3: Cross multiply
    196,152,131x = 416,214,022 × 416,214,022
  4. Step 4: Simplify right side
    196,152,131x = 173,234,112,109,416,480
  5. Step 5: Solve for x
    x = 173,234,112,109,416,480/196,152,131
  6. Step 6: Final answer
    x = 883,162,019.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.