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Finding the Third Proportional to 193,517,958,138 and 302,908,458,699

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Solution

The third proportional to 193,517,958,138 and 302,908,458,699 is: 474,134,469,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,517,958,138 : 302,908,458,699 = 302,908,458,699 : x
  2. Step 2: Convert to fraction form
    193,517,958,138/302,908,458,699 = 302,908,458,699/x
  3. Step 3: Cross multiply
    193,517,958,138x = 302,908,458,699 × 302,908,458,699
  4. Step 4: Simplify right side
    193,517,958,138x = 91,753,534,351,403,787,485,184
  5. Step 5: Solve for x
    x = 91,753,534,351,403,787,485,184/193,517,958,138
  6. Step 6: Final answer
    x = 474,134,469,143.03

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.