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Finding the Third Proportional to 42,727.88 and 93,144.19

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Solution

The third proportional to 42,727.88 and 93,144.19 is: 203,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,727.88 : 93,144.19 = 93,144.19 : x
  2. Step 2: Convert to fraction form
    42,727.88/93,144.19 = 93,144.19/x
  3. Step 3: Cross multiply
    42,727.88x = 93,144.19 × 93,144.19
  4. Step 4: Simplify right side
    42,727.88x = 8,675,839,665.04
  5. Step 5: Solve for x
    x = 8,675,839,665.04/42,727.88
  6. Step 6: Final answer
    x = 203,048.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.