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Finding the Third Proportional to 84,614.63 and 180,194.63

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Solution

The third proportional to 84,614.63 and 180,194.63 is: 383,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,614.63 : 180,194.63 = 180,194.63 : x
  2. Step 2: Convert to fraction form
    84,614.63/180,194.63 = 180,194.63/x
  3. Step 3: Cross multiply
    84,614.63x = 180,194.63 × 180,194.63
  4. Step 4: Simplify right side
    84,614.63x = 32,470,102,878.89
  5. Step 5: Solve for x
    x = 32,470,102,878.89/84,614.63
  6. Step 6: Final answer
    x = 383,741.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.