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Finding the Third Proportional to 82,966.66 and 180,999.34

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Solution

The third proportional to 82,966.66 and 180,999.34 is: 394,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,966.66 : 180,999.34 = 180,999.34 : x
  2. Step 2: Convert to fraction form
    82,966.66/180,999.34 = 180,999.34/x
  3. Step 3: Cross multiply
    82,966.66x = 180,999.34 × 180,999.34
  4. Step 4: Simplify right side
    82,966.66x = 32,760,762,437.93
  5. Step 5: Solve for x
    x = 32,760,762,437.93/82,966.66
  6. Step 6: Final answer
    x = 394,866.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.