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Finding the Third Proportional to 83,768.63 and 169,967.25

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Solution

The third proportional to 83,768.63 and 169,967.25 is: 344,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768.63 : 169,967.25 = 169,967.25 : x
  2. Step 2: Convert to fraction form
    83,768.63/169,967.25 = 169,967.25/x
  3. Step 3: Cross multiply
    83,768.63x = 169,967.25 × 169,967.25
  4. Step 4: Simplify right side
    83,768.63x = 28,888,866,072.56
  5. Step 5: Solve for x
    x = 28,888,866,072.56/83,768.63
  6. Step 6: Final answer
    x = 344,864.99

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.