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Finding the Third Proportional to 101,907,922,191.75 and 151,978,149,500.62

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Solution

The third proportional to 101,907,922,191.75 and 151,978,149,500.62 is: 226,649,287,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,907,922,191.75 : 151,978,149,500.62 = 151,978,149,500.62 : x
  2. Step 2: Convert to fraction form
    101,907,922,191.75/151,978,149,500.62 = 151,978,149,500.62/x
  3. Step 3: Cross multiply
    101,907,922,191.75x = 151,978,149,500.62 × 151,978,149,500.62
  4. Step 4: Simplify right side
    101,907,922,191.75x = 23,097,357,925,632,803,078,144
  5. Step 5: Solve for x
    x = 23,097,357,925,632,803,078,144/101,907,922,191.75
  6. Step 6: Final answer
    x = 226,649,287,208.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.