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Finding the Third Proportional to 150,271,144 and 229,875,876

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Solution

The third proportional to 150,271,144 and 229,875,876 is: 351,650,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,271,144 : 229,875,876 = 229,875,876 : x
  2. Step 2: Convert to fraction form
    150,271,144/229,875,876 = 229,875,876/x
  3. Step 3: Cross multiply
    150,271,144x = 229,875,876 × 229,875,876
  4. Step 4: Simplify right side
    150,271,144x = 52,842,918,366,767,376
  5. Step 5: Solve for x
    x = 52,842,918,366,767,376/150,271,144
  6. Step 6: Final answer
    x = 351,650,469.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.