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Finding the Third Proportional to 147,370,653,966 and 226,379,353,659

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Solution

The third proportional to 147,370,653,966 and 226,379,353,659 is: 347,746,382,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,370,653,966 : 226,379,353,659 = 226,379,353,659 : x
  2. Step 2: Convert to fraction form
    147,370,653,966/226,379,353,659 = 226,379,353,659/x
  3. Step 3: Cross multiply
    147,370,653,966x = 226,379,353,659 × 226,379,353,659
  4. Step 4: Simplify right side
    147,370,653,966x = 51,247,611,763,066,595,704,832
  5. Step 5: Solve for x
    x = 51,247,611,763,066,595,704,832/147,370,653,966
  6. Step 6: Final answer
    x = 347,746,382,226.75

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Why These Related Problems?

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