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Finding the Third Proportional to 133,412,861,004 and 203,245,265,356

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Solution

The third proportional to 133,412,861,004 and 203,245,265,356 is: 309,630,102,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,412,861,004 : 203,245,265,356 = 203,245,265,356 : x
  2. Step 2: Convert to fraction form
    133,412,861,004/203,245,265,356 = 203,245,265,356/x
  3. Step 3: Cross multiply
    133,412,861,004x = 203,245,265,356 × 203,245,265,356
  4. Step 4: Simplify right side
    133,412,861,004x = 41,308,637,889,630,855,757,824
  5. Step 5: Solve for x
    x = 41,308,637,889,630,855,757,824/133,412,861,004
  6. Step 6: Final answer
    x = 309,630,102,965.80

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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.