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Finding the Third Proportional to 80,704.13 and 159,341.63

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Solution

The third proportional to 80,704.13 and 159,341.63 is: 314,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,704.13 : 159,341.63 = 159,341.63 : x
  2. Step 2: Convert to fraction form
    80,704.13/159,341.63 = 159,341.63/x
  3. Step 3: Cross multiply
    80,704.13x = 159,341.63 × 159,341.63
  4. Step 4: Simplify right side
    80,704.13x = 25,389,753,457.64
  5. Step 5: Solve for x
    x = 25,389,753,457.64/80,704.13
  6. Step 6: Final answer
    x = 314,602.92

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.