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Finding the Third Proportional to 229,517,511.75 and 495,305,325

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Solution

The third proportional to 229,517,511.75 and 495,305,325 is: 1,068,882,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,517,511.75 : 495,305,325 = 495,305,325 : x
  2. Step 2: Convert to fraction form
    229,517,511.75/495,305,325 = 495,305,325/x
  3. Step 3: Cross multiply
    229,517,511.75x = 495,305,325 × 495,305,325
  4. Step 4: Simplify right side
    229,517,511.75x = 245,327,364,973,355,616
  5. Step 5: Solve for x
    x = 245,327,364,973,355,616/229,517,511.75
  6. Step 6: Final answer
    x = 1,068,882,993.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.