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Finding the Third Proportional to 214,768,269,754.88 and 323,049,062,057.62

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Solution

The third proportional to 214,768,269,754.88 and 323,049,062,057.62 is: 485,922,322,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,768,269,754.88 : 323,049,062,057.62 = 323,049,062,057.62 : x
  2. Step 2: Convert to fraction form
    214,768,269,754.88/323,049,062,057.62 = 323,049,062,057.62/x
  3. Step 3: Cross multiply
    214,768,269,754.88x = 323,049,062,057.62 × 323,049,062,057.62
  4. Step 4: Simplify right side
    214,768,269,754.88x = 104,360,696,496,308,011,139,072
  5. Step 5: Solve for x
    x = 104,360,696,496,308,011,139,072/214,768,269,754.88
  6. Step 6: Final answer
    x = 485,922,322,768.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.