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Finding the Third Proportional to 150,353,955 and 239,245,185.50

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Solution

The third proportional to 150,353,955 and 239,245,185.50 is: 380,690,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,353,955 : 239,245,185.50 = 239,245,185.50 : x
  2. Step 2: Convert to fraction form
    150,353,955/239,245,185.50 = 239,245,185.50/x
  3. Step 3: Cross multiply
    150,353,955x = 239,245,185.50 × 239,245,185.50
  4. Step 4: Simplify right side
    150,353,955x = 57,238,258,784,929,408
  5. Step 5: Solve for x
    x = 57,238,258,784,929,408/150,353,955
  6. Step 6: Final answer
    x = 380,690,077.52

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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.