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Finding the Third Proportional to 185,169,084 and 398,209,296

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Solution

The third proportional to 185,169,084 and 398,209,296 is: 856,355,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,169,084 : 398,209,296 = 398,209,296 : x
  2. Step 2: Convert to fraction form
    185,169,084/398,209,296 = 398,209,296/x
  3. Step 3: Cross multiply
    185,169,084x = 398,209,296 × 398,209,296
  4. Step 4: Simplify right side
    185,169,084x = 158,570,643,420,815,616
  5. Step 5: Solve for x
    x = 158,570,643,420,815,616/185,169,084
  6. Step 6: Final answer
    x = 856,355,931.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.