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Finding the Third Proportional to 147,370,653,958 and 226,379,353,648

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Solution

The third proportional to 147,370,653,958 and 226,379,353,648 is: 347,746,382,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,370,653,958 : 226,379,353,648 = 226,379,353,648 : x
  2. Step 2: Convert to fraction form
    147,370,653,958/226,379,353,648 = 226,379,353,648/x
  3. Step 3: Cross multiply
    147,370,653,958x = 226,379,353,648 × 226,379,353,648
  4. Step 4: Simplify right side
    147,370,653,958x = 51,247,611,758,086,253,969,408
  5. Step 5: Solve for x
    x = 51,247,611,758,086,253,969,408/147,370,653,958
  6. Step 6: Final answer
    x = 347,746,382,211.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.