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Finding the Third Proportional to 84,887,777.25 and 181,876,914

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Solution

The third proportional to 84,887,777.25 and 181,876,914 is: 389,681,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,887,777.25 : 181,876,914 = 181,876,914 : x
  2. Step 2: Convert to fraction form
    84,887,777.25/181,876,914 = 181,876,914/x
  3. Step 3: Cross multiply
    84,887,777.25x = 181,876,914 × 181,876,914
  4. Step 4: Simplify right side
    84,887,777.25x = 33,079,211,846,163,396
  5. Step 5: Solve for x
    x = 33,079,211,846,163,396/84,887,777.25
  6. Step 6: Final answer
    x = 389,681,682.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.