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Finding the Third Proportional to 86,179.50 and 188,397

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Solution

The third proportional to 86,179.50 and 188,397 is: 411,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,179.50 : 188,397 = 188,397 : x
  2. Step 2: Convert to fraction form
    86,179.50/188,397 = 188,397/x
  3. Step 3: Cross multiply
    86,179.50x = 188,397 × 188,397
  4. Step 4: Simplify right side
    86,179.50x = 35,493,429,609
  5. Step 5: Solve for x
    x = 35,493,429,609/86,179.50
  6. Step 6: Final answer
    x = 411,854.67

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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.