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Finding the Third Proportional to 196,878,912 and 424,047,936

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Solution

The third proportional to 196,878,912 and 424,047,936 is: 913,336,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,878,912 : 424,047,936 = 424,047,936 : x
  2. Step 2: Convert to fraction form
    196,878,912/424,047,936 = 424,047,936/x
  3. Step 3: Cross multiply
    196,878,912x = 424,047,936 × 424,047,936
  4. Step 4: Simplify right side
    196,878,912x = 179,816,652,025,860,096
  5. Step 5: Solve for x
    x = 179,816,652,025,860,096/196,878,912
  6. Step 6: Final answer
    x = 913,336,274.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.