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Finding the Third Proportional to 147,665,792 and 321,902,176

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Solution

The third proportional to 147,665,792 and 321,902,176 is: 701,726,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,665,792 : 321,902,176 = 321,902,176 : x
  2. Step 2: Convert to fraction form
    147,665,792/321,902,176 = 321,902,176/x
  3. Step 3: Cross multiply
    147,665,792x = 321,902,176 × 321,902,176
  4. Step 4: Simplify right side
    147,665,792x = 103,621,010,913,534,976
  5. Step 5: Solve for x
    x = 103,621,010,913,534,976/147,665,792
  6. Step 6: Final answer
    x = 701,726,578.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.