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Finding the Third Proportional to 150,353,982 and 239,245,103.25

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Solution

The third proportional to 150,353,982 and 239,245,103.25 is: 380,689,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,353,982 : 239,245,103.25 = 239,245,103.25 : x
  2. Step 2: Convert to fraction form
    150,353,982/239,245,103.25 = 239,245,103.25/x
  3. Step 3: Cross multiply
    150,353,982x = 239,245,103.25 × 239,245,103.25
  4. Step 4: Simplify right side
    150,353,982x = 57,238,219,429,103,160
  5. Step 5: Solve for x
    x = 57,238,219,429,103,160/150,353,982
  6. Step 6: Final answer
    x = 380,689,747.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.