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Finding the Third Proportional to 257,954,428,181.81 and 384,694,691,048.44

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Solution

The third proportional to 257,954,428,181.81 and 384,694,691,048.44 is: 573,706,008,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,954,428,181.81 : 384,694,691,048.44 = 384,694,691,048.44 : x
  2. Step 2: Convert to fraction form
    257,954,428,181.81/384,694,691,048.44 = 384,694,691,048.44/x
  3. Step 3: Cross multiply
    257,954,428,181.81x = 384,694,691,048.44 × 384,694,691,048.44
  4. Step 4: Simplify right side
    257,954,428,181.81x = 147,990,005,320,854,701,867,008
  5. Step 5: Solve for x
    x = 147,990,005,320,854,701,867,008/257,954,428,181.81
  6. Step 6: Final answer
    x = 573,706,008,320.78

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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.