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Finding the Third Proportional to 85,139,464.50 and 186,760,647

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Solution

The third proportional to 85,139,464.50 and 186,760,647 is: 409,675,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,139,464.50 : 186,760,647 = 186,760,647 : x
  2. Step 2: Convert to fraction form
    85,139,464.50/186,760,647 = 186,760,647/x
  3. Step 3: Cross multiply
    85,139,464.50x = 186,760,647 × 186,760,647
  4. Step 4: Simplify right side
    85,139,464.50x = 34,879,539,267,858,608
  5. Step 5: Solve for x
    x = 34,879,539,267,858,608/85,139,464.50
  6. Step 6: Final answer
    x = 409,675,342.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.