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Finding the Third Proportional to 203,815,844,391 and 303,956,299,011

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Solution

The third proportional to 203,815,844,391 and 303,956,299,011 is: 453,298,574,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,815,844,391 : 303,956,299,011 = 303,956,299,011 : x
  2. Step 2: Convert to fraction form
    203,815,844,391/303,956,299,011 = 303,956,299,011/x
  3. Step 3: Cross multiply
    203,815,844,391x = 303,956,299,011 × 303,956,299,011
  4. Step 4: Simplify right side
    203,815,844,391x = 92,389,431,708,464,441,196,544
  5. Step 5: Solve for x
    x = 92,389,431,708,464,441,196,544/203,815,844,391
  6. Step 6: Final answer
    x = 453,298,574,428.91

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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.