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Finding the Third Proportional to 180,374,064 and 395,221,584

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Solution

The third proportional to 180,374,064 and 395,221,584 is: 865,978,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,374,064 : 395,221,584 = 395,221,584 : x
  2. Step 2: Convert to fraction form
    180,374,064/395,221,584 = 395,221,584/x
  3. Step 3: Cross multiply
    180,374,064x = 395,221,584 × 395,221,584
  4. Step 4: Simplify right side
    180,374,064x = 156,200,100,459,469,056
  5. Step 5: Solve for x
    x = 156,200,100,459,469,056/180,374,064
  6. Step 6: Final answer
    x = 865,978,716.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.