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Finding the Third Proportional to 84,887,463 and 181,876,285.50

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Solution

The third proportional to 84,887,463 and 181,876,285.50 is: 389,680,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,887,463 : 181,876,285.50 = 181,876,285.50 : x
  2. Step 2: Convert to fraction form
    84,887,463/181,876,285.50 = 181,876,285.50/x
  3. Step 3: Cross multiply
    84,887,463x = 181,876,285.50 × 181,876,285.50
  4. Step 4: Simplify right side
    84,887,463x = 33,078,983,227,277,512
  5. Step 5: Solve for x
    x = 33,078,983,227,277,512/84,887,463
  6. Step 6: Final answer
    x = 389,680,431.69

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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.