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Finding the Third Proportional to 111,633,232,832 and 171,588,282,544

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Solution

The third proportional to 111,633,232,832 and 171,588,282,544 is: 263,743,492,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,633,232,832 : 171,588,282,544 = 171,588,282,544 : x
  2. Step 2: Convert to fraction form
    111,633,232,832/171,588,282,544 = 171,588,282,544/x
  3. Step 3: Cross multiply
    111,633,232,832x = 171,588,282,544 × 171,588,282,544
  4. Step 4: Simplify right side
    111,633,232,832x = 29,442,538,706,399,576,195,072
  5. Step 5: Solve for x
    x = 29,442,538,706,399,576,195,072/111,633,232,832
  6. Step 6: Final answer
    x = 263,743,492,501.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.