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Finding the Third Proportional to 175,288,419 and 374,891,883

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Solution

The third proportional to 175,288,419 and 374,891,883 is: 801,786,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,288,419 : 374,891,883 = 374,891,883 : x
  2. Step 2: Convert to fraction form
    175,288,419/374,891,883 = 374,891,883/x
  3. Step 3: Cross multiply
    175,288,419x = 374,891,883 × 374,891,883
  4. Step 4: Simplify right side
    175,288,419x = 140,543,923,939,285,696
  5. Step 5: Solve for x
    x = 140,543,923,939,285,696/175,288,419
  6. Step 6: Final answer
    x = 801,786,705.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.