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Finding the Third Proportional to 123,327,678,772 and 196,238,581,174

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Solution

The third proportional to 123,327,678,772 and 196,238,581,174 is: 312,254,160,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,327,678,772 : 196,238,581,174 = 196,238,581,174 : x
  2. Step 2: Convert to fraction form
    123,327,678,772/196,238,581,174 = 196,238,581,174/x
  3. Step 3: Cross multiply
    123,327,678,772x = 196,238,581,174 × 196,238,581,174
  4. Step 4: Simplify right side
    123,327,678,772x = 38,509,580,741,184,589,922,304
  5. Step 5: Solve for x
    x = 38,509,580,741,184,589,922,304/123,327,678,772
  6. Step 6: Final answer
    x = 312,254,160,012.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.