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Finding the Third Proportional to 45,273,077 and 98,202,218

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Solution

The third proportional to 45,273,077 and 98,202,218 is: 213,011,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,273,077 : 98,202,218 = 98,202,218 : x
  2. Step 2: Convert to fraction form
    45,273,077/98,202,218 = 98,202,218/x
  3. Step 3: Cross multiply
    45,273,077x = 98,202,218 × 98,202,218
  4. Step 4: Simplify right side
    45,273,077x = 9,643,675,620,119,524
  5. Step 5: Solve for x
    x = 9,643,675,620,119,524/45,273,077
  6. Step 6: Final answer
    x = 213,011,269.81

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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.