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Finding the Third Proportional to 172,138,137.75 and 371,479,002.75

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Solution

The third proportional to 172,138,137.75 and 371,479,002.75 is: 801,662,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,138,137.75 : 371,479,002.75 = 371,479,002.75 : x
  2. Step 2: Convert to fraction form
    172,138,137.75/371,479,002.75 = 371,479,002.75/x
  3. Step 3: Cross multiply
    172,138,137.75x = 371,479,002.75 × 371,479,002.75
  4. Step 4: Simplify right side
    172,138,137.75x = 137,996,649,484,134,512
  5. Step 5: Solve for x
    x = 137,996,649,484,134,512/172,138,137.75
  6. Step 6: Final answer
    x = 801,662,265.48

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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.