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Finding the Third Proportional to 167,965,760 and 240,191,328

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Solution

The third proportional to 167,965,760 and 240,191,328 is: 343,474,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,965,760 : 240,191,328 = 240,191,328 : x
  2. Step 2: Convert to fraction form
    167,965,760/240,191,328 = 240,191,328/x
  3. Step 3: Cross multiply
    167,965,760x = 240,191,328 × 240,191,328
  4. Step 4: Simplify right side
    167,965,760x = 57,691,874,046,403,584
  5. Step 5: Solve for x
    x = 57,691,874,046,403,584/167,965,760
  6. Step 6: Final answer
    x = 343,474,015.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.