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Finding the Third Proportional to 82,199.81 and 170,861.06

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Solution

The third proportional to 82,199.81 and 170,861.06 is: 355,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,199.81 : 170,861.06 = 170,861.06 : x
  2. Step 2: Convert to fraction form
    82,199.81/170,861.06 = 170,861.06/x
  3. Step 3: Cross multiply
    82,199.81x = 170,861.06 × 170,861.06
  4. Step 4: Simplify right side
    82,199.81x = 29,193,502,678.63
  5. Step 5: Solve for x
    x = 29,193,502,678.63/82,199.81
  6. Step 6: Final answer
    x = 355,152.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.