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Finding the Third Proportional to 160,988,016.38 and 347,467,704.75

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Solution

The third proportional to 160,988,016.38 and 347,467,704.75 is: 749,955,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,988,016.38 : 347,467,704.75 = 347,467,704.75 : x
  2. Step 2: Convert to fraction form
    160,988,016.38/347,467,704.75 = 347,467,704.75/x
  3. Step 3: Cross multiply
    160,988,016.38x = 347,467,704.75 × 347,467,704.75
  4. Step 4: Simplify right side
    160,988,016.38x = 120,733,805,844,233,168
  5. Step 5: Solve for x
    x = 120,733,805,844,233,168/160,988,016.38
  6. Step 6: Final answer
    x = 749,955,236.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.