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Finding the Third Proportional to 83,492.44 and 169,900.88

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Solution

The third proportional to 83,492.44 and 169,900.88 is: 345,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,492.44 : 169,900.88 = 169,900.88 : x
  2. Step 2: Convert to fraction form
    83,492.44/169,900.88 = 169,900.88/x
  3. Step 3: Cross multiply
    83,492.44x = 169,900.88 × 169,900.88
  4. Step 4: Simplify right side
    83,492.44x = 28,866,307,325.77
  5. Step 5: Solve for x
    x = 28,866,307,325.77/83,492.44
  6. Step 6: Final answer
    x = 345,735.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.