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Finding the Third Proportional to 78,909 and 169,846.50

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Solution

The third proportional to 78,909 and 169,846.50 is: 365,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,909 : 169,846.50 = 169,846.50 : x
  2. Step 2: Convert to fraction form
    78,909/169,846.50 = 169,846.50/x
  3. Step 3: Cross multiply
    78,909x = 169,846.50 × 169,846.50
  4. Step 4: Simplify right side
    78,909x = 28,847,833,562.25
  5. Step 5: Solve for x
    x = 28,847,833,562.25/78,909
  6. Step 6: Final answer
    x = 365,583.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.