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Finding the Third Proportional to 133,412,861,000.25 and 203,245,265,351.25

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Solution

The third proportional to 133,412,861,000.25 and 203,245,265,351.25 is: 309,630,102,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,412,861,000.25 : 203,245,265,351.25 = 203,245,265,351.25 : x
  2. Step 2: Convert to fraction form
    133,412,861,000.25/203,245,265,351.25 = 203,245,265,351.25/x
  3. Step 3: Cross multiply
    133,412,861,000.25x = 203,245,265,351.25 × 203,245,265,351.25
  4. Step 4: Simplify right side
    133,412,861,000.25x = 41,308,637,887,700,024,688,640
  5. Step 5: Solve for x
    x = 41,308,637,887,700,024,688,640/133,412,861,000.25
  6. Step 6: Final answer
    x = 309,630,102,960.03

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