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Finding the Third Proportional to 41,206,704.75 and 85,804,386.75

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Solution

The third proportional to 41,206,704.75 and 85,804,386.75 is: 178,669,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,206,704.75 : 85,804,386.75 = 85,804,386.75 : x
  2. Step 2: Convert to fraction form
    41,206,704.75/85,804,386.75 = 85,804,386.75/x
  3. Step 3: Cross multiply
    41,206,704.75x = 85,804,386.75 × 85,804,386.75
  4. Step 4: Simplify right side
    41,206,704.75x = 7,362,392,785,543,576
  5. Step 5: Solve for x
    x = 7,362,392,785,543,576/41,206,704.75
  6. Step 6: Final answer
    x = 178,669,777.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.