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Finding the Third Proportional to 68,099,302,814.63 and 146,304,761,247

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Solution

The third proportional to 68,099,302,814.63 and 146,304,761,247 is: 314,321,619,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,099,302,814.63 : 146,304,761,247 = 146,304,761,247 : x
  2. Step 2: Convert to fraction form
    68,099,302,814.63/146,304,761,247 = 146,304,761,247/x
  3. Step 3: Cross multiply
    68,099,302,814.63x = 146,304,761,247 × 146,304,761,247
  4. Step 4: Simplify right side
    68,099,302,814.63x = 21,405,083,163,541,672,820,736
  5. Step 5: Solve for x
    x = 21,405,083,163,541,672,820,736/68,099,302,814.63
  6. Step 6: Final answer
    x = 314,321,619,735.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.