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Finding the Third Proportional to 80,032,350 and 172,198,176

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Solution

The third proportional to 80,032,350 and 172,198,176 is: 370,502,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,032,350 : 172,198,176 = 172,198,176 : x
  2. Step 2: Convert to fraction form
    80,032,350/172,198,176 = 172,198,176/x
  3. Step 3: Cross multiply
    80,032,350x = 172,198,176 × 172,198,176
  4. Step 4: Simplify right side
    80,032,350x = 29,652,211,817,726,976
  5. Step 5: Solve for x
    x = 29,652,211,817,726,976/80,032,350
  6. Step 6: Final answer
    x = 370,502,825.64

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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.