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Finding the Third Proportional to 150,943,724 and 323,414,104

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Solution

The third proportional to 150,943,724 and 323,414,104 is: 692,951,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,943,724 : 323,414,104 = 323,414,104 : x
  2. Step 2: Convert to fraction form
    150,943,724/323,414,104 = 323,414,104/x
  3. Step 3: Cross multiply
    150,943,724x = 323,414,104 × 323,414,104
  4. Step 4: Simplify right side
    150,943,724x = 104,596,682,666,122,816
  5. Step 5: Solve for x
    x = 104,596,682,666,122,816/150,943,724
  6. Step 6: Final answer
    x = 692,951,517.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.