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Finding the Third Proportional to 86,181 and 186,196

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Solution

The third proportional to 86,181 and 186,196 is: 402,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,181 : 186,196 = 186,196 : x
  2. Step 2: Convert to fraction form
    86,181/186,196 = 186,196/x
  3. Step 3: Cross multiply
    86,181x = 186,196 × 186,196
  4. Step 4: Simplify right side
    86,181x = 34,668,950,416
  5. Step 5: Solve for x
    x = 34,668,950,416/86,181
  6. Step 6: Final answer
    x = 402,280.67

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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.