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Finding the Third Proportional to 88,393 and 190,793

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Solution

The third proportional to 88,393 and 190,793 is: 411,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,393 : 190,793 = 190,793 : x
  2. Step 2: Convert to fraction form
    88,393/190,793 = 190,793/x
  3. Step 3: Cross multiply
    88,393x = 190,793 × 190,793
  4. Step 4: Simplify right side
    88,393x = 36,401,968,849
  5. Step 5: Solve for x
    x = 36,401,968,849/88,393
  6. Step 6: Final answer
    x = 411,819.59

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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.