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Finding the Third Proportional to 86,807 and 190,233

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Solution

The third proportional to 86,807 and 190,233 is: 416,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,807 : 190,233 = 190,233 : x
  2. Step 2: Convert to fraction form
    86,807/190,233 = 190,233/x
  3. Step 3: Cross multiply
    86,807x = 190,233 × 190,233
  4. Step 4: Simplify right side
    86,807x = 36,188,594,289
  5. Step 5: Solve for x
    x = 36,188,594,289/86,807
  6. Step 6: Final answer
    x = 416,885.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.