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Finding the Third Proportional to 203,076,294 and 309,375,945

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Solution

The third proportional to 203,076,294 and 309,375,945 is: 471,317,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,076,294 : 309,375,945 = 309,375,945 : x
  2. Step 2: Convert to fraction form
    203,076,294/309,375,945 = 309,375,945/x
  3. Step 3: Cross multiply
    203,076,294x = 309,375,945 × 309,375,945
  4. Step 4: Simplify right side
    203,076,294x = 95,713,475,344,643,024
  5. Step 5: Solve for x
    x = 95,713,475,344,643,024/203,076,294
  6. Step 6: Final answer
    x = 471,317,815.88

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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.