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Finding the Third Proportional to 43,193 and 93,618

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Solution

The third proportional to 43,193 and 93,618 is: 202,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,193 : 93,618 = 93,618 : x
  2. Step 2: Convert to fraction form
    43,193/93,618 = 93,618/x
  3. Step 3: Cross multiply
    43,193x = 93,618 × 93,618
  4. Step 4: Simplify right side
    43,193x = 8,764,329,924
  5. Step 5: Solve for x
    x = 8,764,329,924/43,193
  6. Step 6: Final answer
    x = 202,910.89

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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.