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Finding the Third Proportional to 76,431.09 and 167,628.23

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Solution

The third proportional to 76,431.09 and 167,628.23 is: 367,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,431.09 : 167,628.23 = 167,628.23 : x
  2. Step 2: Convert to fraction form
    76,431.09/167,628.23 = 167,628.23/x
  3. Step 3: Cross multiply
    76,431.09x = 167,628.23 × 167,628.23
  4. Step 4: Simplify right side
    76,431.09x = 28,099,224,959.68
  5. Step 5: Solve for x
    x = 28,099,224,959.68/76,431.09
  6. Step 6: Final answer
    x = 367,641.28

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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.