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Finding the Third Proportional to 203,076,206 and 309,375,813

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Solution

The third proportional to 203,076,206 and 309,375,813 is: 471,317,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,076,206 : 309,375,813 = 309,375,813 : x
  2. Step 2: Convert to fraction form
    203,076,206/309,375,813 = 309,375,813/x
  3. Step 3: Cross multiply
    203,076,206x = 309,375,813 × 309,375,813
  4. Step 4: Simplify right side
    203,076,206x = 95,713,393,669,410,976
  5. Step 5: Solve for x
    x = 95,713,393,669,410,976/203,076,206
  6. Step 6: Final answer
    x = 471,317,617.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.