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Finding the Third Proportional to 115,558,586,059.50 and 234,366,416,811

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Solution

The third proportional to 115,558,586,059.50 and 234,366,416,811 is: 475,322,684,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,558,586,059.50 : 234,366,416,811 = 234,366,416,811 : x
  2. Step 2: Convert to fraction form
    115,558,586,059.50/234,366,416,811 = 234,366,416,811/x
  3. Step 3: Cross multiply
    115,558,586,059.50x = 234,366,416,811 × 234,366,416,811
  4. Step 4: Simplify right side
    115,558,586,059.50x = 54,927,617,328,827,380,793,344
  5. Step 5: Solve for x
    x = 54,927,617,328,827,380,793,344/115,558,586,059.50
  6. Step 6: Final answer
    x = 475,322,684,378.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.