Home / 82,267,782,535.61-166,848,747,886.26

Finding the Third Proportional to 82,267,782,535.61 and 166,848,747,886.26

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Solution

The third proportional to 82,267,782,535.61 and 166,848,747,886.26 is: 338,388,902,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,267,782,535.61 : 166,848,747,886.26 = 166,848,747,886.26 : x
  2. Step 2: Convert to fraction form
    82,267,782,535.61/166,848,747,886.26 = 166,848,747,886.26/x
  3. Step 3: Cross multiply
    82,267,782,535.61x = 166,848,747,886.26 × 166,848,747,886.26
  4. Step 4: Simplify right side
    82,267,782,535.61x = 27,838,504,671,212,753,387,520
  5. Step 5: Solve for x
    x = 27,838,504,671,212,753,387,520/82,267,782,535.61
  6. Step 6: Final answer
    x = 338,388,902,838.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.