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Finding the Third Proportional to 149,008,405,869 and 223,457,881,092.75

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Solution

The third proportional to 149,008,405,869 and 223,457,881,092.75 is: 335,104,750,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,008,405,869 : 223,457,881,092.75 = 223,457,881,092.75 : x
  2. Step 2: Convert to fraction form
    149,008,405,869/223,457,881,092.75 = 223,457,881,092.75/x
  3. Step 3: Cross multiply
    149,008,405,869x = 223,457,881,092.75 × 223,457,881,092.75
  4. Step 4: Simplify right side
    149,008,405,869x = 49,933,424,622,461,601,710,080
  5. Step 5: Solve for x
    x = 49,933,424,622,461,601,710,080/149,008,405,869
  6. Step 6: Final answer
    x = 335,104,750,173.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.