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Finding the Third Proportional to 150,353,946 and 239,245,171.50

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Solution

The third proportional to 150,353,946 and 239,245,171.50 is: 380,690,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,353,946 : 239,245,171.50 = 239,245,171.50 : x
  2. Step 2: Convert to fraction form
    150,353,946/239,245,171.50 = 239,245,171.50/x
  3. Step 3: Cross multiply
    150,353,946x = 239,245,171.50 × 239,245,171.50
  4. Step 4: Simplify right side
    150,353,946x = 57,238,252,086,064,416
  5. Step 5: Solve for x
    x = 57,238,252,086,064,416/150,353,946
  6. Step 6: Final answer
    x = 380,690,055.76

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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.