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Finding the Third Proportional to 47,981,840.25 and 103,609,369.50

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Solution

The third proportional to 47,981,840.25 and 103,609,369.50 is: 223,728,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981,840.25 : 103,609,369.50 = 103,609,369.50 : x
  2. Step 2: Convert to fraction form
    47,981,840.25/103,609,369.50 = 103,609,369.50/x
  3. Step 3: Cross multiply
    47,981,840.25x = 103,609,369.50 × 103,609,369.50
  4. Step 4: Simplify right side
    47,981,840.25x = 10,734,901,448,187,530
  5. Step 5: Solve for x
    x = 10,734,901,448,187,530/47,981,840.25
  6. Step 6: Final answer
    x = 223,728,422.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.