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Finding the Third Proportional to 196,299,184 and 412,905,296

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Solution

The third proportional to 196,299,184 and 412,905,296 is: 868,525,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,299,184 : 412,905,296 = 412,905,296 : x
  2. Step 2: Convert to fraction form
    196,299,184/412,905,296 = 412,905,296/x
  3. Step 3: Cross multiply
    196,299,184x = 412,905,296 × 412,905,296
  4. Step 4: Simplify right side
    196,299,184x = 170,490,783,464,847,616
  5. Step 5: Solve for x
    x = 170,490,783,464,847,616/196,299,184
  6. Step 6: Final answer
    x = 868,525,176.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.