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Finding the Third Proportional to 81,693.56 and 169,538.06

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Solution

The third proportional to 81,693.56 and 169,538.06 is: 351,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,693.56 : 169,538.06 = 169,538.06 : x
  2. Step 2: Convert to fraction form
    81,693.56/169,538.06 = 169,538.06/x
  3. Step 3: Cross multiply
    81,693.56x = 169,538.06 × 169,538.06
  4. Step 4: Simplify right side
    81,693.56x = 28,743,154,636.25
  5. Step 5: Solve for x
    x = 28,743,154,636.25/81,693.56
  6. Step 6: Final answer
    x = 351,841.12

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.