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Finding the Third Proportional to 101,907,922,193.25 and 151,978,149,502.50

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Solution

The third proportional to 101,907,922,193.25 and 151,978,149,502.50 is: 226,649,287,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,907,922,193.25 : 151,978,149,502.50 = 151,978,149,502.50 : x
  2. Step 2: Convert to fraction form
    101,907,922,193.25/151,978,149,502.50 = 151,978,149,502.50/x
  3. Step 3: Cross multiply
    101,907,922,193.25x = 151,978,149,502.50 × 151,978,149,502.50
  4. Step 4: Simplify right side
    101,907,922,193.25x = 23,097,357,926,204,239,249,408
  5. Step 5: Solve for x
    x = 23,097,357,926,204,239,249,408/101,907,922,193.25
  6. Step 6: Final answer
    x = 226,649,287,210.51

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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.