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Finding the Third Proportional to 150,324,912 and 314,394,078.75

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Solution

The third proportional to 150,324,912 and 314,394,078.75 is: 657,533,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,324,912 : 314,394,078.75 = 314,394,078.75 : x
  2. Step 2: Convert to fraction form
    150,324,912/314,394,078.75 = 314,394,078.75/x
  3. Step 3: Cross multiply
    150,324,912x = 314,394,078.75 × 314,394,078.75
  4. Step 4: Simplify right side
    150,324,912x = 98,843,636,753,061,200
  5. Step 5: Solve for x
    x = 98,843,636,753,061,200/150,324,912
  6. Step 6: Final answer
    x = 657,533,308.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.