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Finding the Third Proportional to 48,745,504 and 105,882,184

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Solution

The third proportional to 48,745,504 and 105,882,184 is: 229,991,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,745,504 : 105,882,184 = 105,882,184 : x
  2. Step 2: Convert to fraction form
    48,745,504/105,882,184 = 105,882,184/x
  3. Step 3: Cross multiply
    48,745,504x = 105,882,184 × 105,882,184
  4. Step 4: Simplify right side
    48,745,504x = 11,211,036,888,609,856
  5. Step 5: Solve for x
    x = 11,211,036,888,609,856/48,745,504
  6. Step 6: Final answer
    x = 229,991,198.54

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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.