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Finding the Third Proportional to 82,835.79 and 178,889.77

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Solution

The third proportional to 82,835.79 and 178,889.77 is: 386,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,835.79 : 178,889.77 = 178,889.77 : x
  2. Step 2: Convert to fraction form
    82,835.79/178,889.77 = 178,889.77/x
  3. Step 3: Cross multiply
    82,835.79x = 178,889.77 × 178,889.77
  4. Step 4: Simplify right side
    82,835.79x = 32,001,548,245.37
  5. Step 5: Solve for x
    x = 32,001,548,245.37/82,835.79
  6. Step 6: Final answer
    x = 386,325.15

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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.