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Finding the Third Proportional to 70,996 and 151,464.50

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Solution

The third proportional to 70,996 and 151,464.50 is: 323,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,996 : 151,464.50 = 151,464.50 : x
  2. Step 2: Convert to fraction form
    70,996/151,464.50 = 151,464.50/x
  3. Step 3: Cross multiply
    70,996x = 151,464.50 × 151,464.50
  4. Step 4: Simplify right side
    70,996x = 22,941,494,760.25
  5. Step 5: Solve for x
    x = 22,941,494,760.25/70,996
  6. Step 6: Final answer
    x = 323,137.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.