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Finding the Third Proportional to 43,182 and 93,740.63

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Solution

The third proportional to 43,182 and 93,740.63 is: 203,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,182 : 93,740.63 = 93,740.63 : x
  2. Step 2: Convert to fraction form
    43,182/93,740.63 = 93,740.63/x
  3. Step 3: Cross multiply
    43,182x = 93,740.63 × 93,740.63
  4. Step 4: Simplify right side
    43,182x = 8,787,304,775.39
  5. Step 5: Solve for x
    x = 8,787,304,775.39/43,182
  6. Step 6: Final answer
    x = 203,494.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.