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Finding the Third Proportional to 160,194,240 and 248,161,824

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Solution

The third proportional to 160,194,240 and 248,161,824 is: 384,435,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,194,240 : 248,161,824 = 248,161,824 : x
  2. Step 2: Convert to fraction form
    160,194,240/248,161,824 = 248,161,824/x
  3. Step 3: Cross multiply
    160,194,240x = 248,161,824 × 248,161,824
  4. Step 4: Simplify right side
    160,194,240x = 61,584,290,891,006,976
  5. Step 5: Solve for x
    x = 61,584,290,891,006,976/160,194,240
  6. Step 6: Final answer
    x = 384,435,113.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.