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Finding the Third Proportional to 70,285.22 and 151,796.53

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Solution

The third proportional to 70,285.22 and 151,796.53 is: 327,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,285.22 : 151,796.53 = 151,796.53 : x
  2. Step 2: Convert to fraction form
    70,285.22/151,796.53 = 151,796.53/x
  3. Step 3: Cross multiply
    70,285.22x = 151,796.53 × 151,796.53
  4. Step 4: Simplify right side
    70,285.22x = 23,042,186,899.53
  5. Step 5: Solve for x
    x = 23,042,186,899.53/70,285.22
  6. Step 6: Final answer
    x = 327,838.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.