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Finding the Third Proportional to 203,815,844,478 and 303,956,299,086

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Solution

The third proportional to 203,815,844,478 and 303,956,299,086 is: 453,298,574,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,815,844,478 : 303,956,299,086 = 303,956,299,086 : x
  2. Step 2: Convert to fraction form
    203,815,844,478/303,956,299,086 = 303,956,299,086/x
  3. Step 3: Cross multiply
    203,815,844,478x = 303,956,299,086 × 303,956,299,086
  4. Step 4: Simplify right side
    203,815,844,478x = 92,389,431,754,057,884,631,040
  5. Step 5: Solve for x
    x = 92,389,431,754,057,884,631,040/203,815,844,478
  6. Step 6: Final answer
    x = 453,298,574,459.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.