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Finding the Third Proportional to 86,259,869 and 185,672,908

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Solution

The third proportional to 86,259,869 and 185,672,908 is: 399,657,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,259,869 : 185,672,908 = 185,672,908 : x
  2. Step 2: Convert to fraction form
    86,259,869/185,672,908 = 185,672,908/x
  3. Step 3: Cross multiply
    86,259,869x = 185,672,908 × 185,672,908
  4. Step 4: Simplify right side
    86,259,869x = 34,474,428,765,176,464
  5. Step 5: Solve for x
    x = 34,474,428,765,176,464/86,259,869
  6. Step 6: Final answer
    x = 399,657,791.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.