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Finding the Third Proportional to 66,233,149,102 and 144,453,801,142

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Solution

The third proportional to 66,233,149,102 and 144,453,801,142 is: 315,052,220,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,233,149,102 : 144,453,801,142 = 144,453,801,142 : x
  2. Step 2: Convert to fraction form
    66,233,149,102/144,453,801,142 = 144,453,801,142/x
  3. Step 3: Cross multiply
    66,233,149,102x = 144,453,801,142 × 144,453,801,142
  4. Step 4: Simplify right side
    66,233,149,102x = 20,866,900,664,372,479,131,648
  5. Step 5: Solve for x
    x = 20,866,900,664,372,479,131,648/66,233,149,102
  6. Step 6: Final answer
    x = 315,052,220,033.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.