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Finding the Third Proportional to 70,814.25 and 151,105.50

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Solution

The third proportional to 70,814.25 and 151,105.50 is: 322,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814.25 : 151,105.50 = 151,105.50 : x
  2. Step 2: Convert to fraction form
    70,814.25/151,105.50 = 151,105.50/x
  3. Step 3: Cross multiply
    70,814.25x = 151,105.50 × 151,105.50
  4. Step 4: Simplify right side
    70,814.25x = 22,832,872,130.25
  5. Step 5: Solve for x
    x = 22,832,872,130.25/70,814.25
  6. Step 6: Final answer
    x = 322,433.30

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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.