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Finding the Third Proportional to 227,153,058.75 and 494,105,467.50

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Solution

The third proportional to 227,153,058.75 and 494,105,467.50 is: 1,074,782,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,153,058.75 : 494,105,467.50 = 494,105,467.50 : x
  2. Step 2: Convert to fraction form
    227,153,058.75/494,105,467.50 = 494,105,467.50/x
  3. Step 3: Cross multiply
    227,153,058.75x = 494,105,467.50 × 494,105,467.50
  4. Step 4: Simplify right side
    227,153,058.75x = 244,140,213,013,393,568
  5. Step 5: Solve for x
    x = 244,140,213,013,393,568/227,153,058.75
  6. Step 6: Final answer
    x = 1,074,782,855.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.