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Finding the Third Proportional to 196,152,126 and 416,214,012

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Solution

The third proportional to 196,152,126 and 416,214,012 is: 883,161,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,152,126 : 416,214,012 = 416,214,012 : x
  2. Step 2: Convert to fraction form
    196,152,126/416,214,012 = 416,214,012/x
  3. Step 3: Cross multiply
    196,152,126x = 416,214,012 × 416,214,012
  4. Step 4: Simplify right side
    196,152,126x = 173,234,103,785,136,128
  5. Step 5: Solve for x
    x = 173,234,103,785,136,128/196,152,126
  6. Step 6: Final answer
    x = 883,161,999.40

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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.