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Finding the Third Proportional to 150,943,736 and 323,414,128

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Solution

The third proportional to 150,943,736 and 323,414,128 is: 692,951,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,943,736 : 323,414,128 = 323,414,128 : x
  2. Step 2: Convert to fraction form
    150,943,736/323,414,128 = 323,414,128/x
  3. Step 3: Cross multiply
    150,943,736x = 323,414,128 × 323,414,128
  4. Step 4: Simplify right side
    150,943,736x = 104,596,698,190,000,384
  5. Step 5: Solve for x
    x = 104,596,698,190,000,384/150,943,736
  6. Step 6: Final answer
    x = 692,951,565.67

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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.