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Finding the Third Proportional to 47,991,536 and 103,266,148

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Solution

The third proportional to 47,991,536 and 103,266,148 is: 222,203,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,991,536 : 103,266,148 = 103,266,148 : x
  2. Step 2: Convert to fraction form
    47,991,536/103,266,148 = 103,266,148/x
  3. Step 3: Cross multiply
    47,991,536x = 103,266,148 × 103,266,148
  4. Step 4: Simplify right side
    47,991,536x = 10,663,897,322,757,904
  5. Step 5: Solve for x
    x = 10,663,897,322,757,904/47,991,536
  6. Step 6: Final answer
    x = 222,203,709.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.