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Finding the Third Proportional to 203,076,292 and 309,375,942

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Solution

The third proportional to 203,076,292 and 309,375,942 is: 471,317,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,076,292 : 309,375,942 = 309,375,942 : x
  2. Step 2: Convert to fraction form
    203,076,292/309,375,942 = 309,375,942/x
  3. Step 3: Cross multiply
    203,076,292x = 309,375,942 × 309,375,942
  4. Step 4: Simplify right side
    203,076,292x = 95,713,473,488,387,360
  5. Step 5: Solve for x
    x = 95,713,473,488,387,360/203,076,292
  6. Step 6: Final answer
    x = 471,317,811.38

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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.