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Finding the Third Proportional to 133,412,861,006 and 203,245,265,359

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Solution

The third proportional to 133,412,861,006 and 203,245,265,359 is: 309,630,102,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,412,861,006 : 203,245,265,359 = 203,245,265,359 : x
  2. Step 2: Convert to fraction form
    133,412,861,006/203,245,265,359 = 203,245,265,359/x
  3. Step 3: Cross multiply
    133,412,861,006x = 203,245,265,359 × 203,245,265,359
  4. Step 4: Simplify right side
    133,412,861,006x = 41,308,637,890,850,324,480,000
  5. Step 5: Solve for x
    x = 41,308,637,890,850,324,480,000/133,412,861,006
  6. Step 6: Final answer
    x = 309,630,102,970.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.