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Finding the Third Proportional to 105,416.44 and 168,604.03

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Solution

The third proportional to 105,416.44 and 168,604.03 is: 269,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,416.44 : 168,604.03 = 168,604.03 : x
  2. Step 2: Convert to fraction form
    105,416.44/168,604.03 = 168,604.03/x
  3. Step 3: Cross multiply
    105,416.44x = 168,604.03 × 168,604.03
  4. Step 4: Simplify right side
    105,416.44x = 28,427,319,353.75
  5. Step 5: Solve for x
    x = 28,427,319,353.75/105,416.44
  6. Step 6: Final answer
    x = 269,666.86

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.