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Finding the Third Proportional to 84,170.25 and 180,014.63

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Solution

The third proportional to 84,170.25 and 180,014.63 is: 384,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170.25 : 180,014.63 = 180,014.63 : x
  2. Step 2: Convert to fraction form
    84,170.25/180,014.63 = 180,014.63/x
  3. Step 3: Cross multiply
    84,170.25x = 180,014.63 × 180,014.63
  4. Step 4: Simplify right side
    84,170.25x = 32,405,265,213.89
  5. Step 5: Solve for x
    x = 32,405,265,213.89/84,170.25
  6. Step 6: Final answer
    x = 384,996.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.