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Finding the Third Proportional to 174,595,120 and 242,760,546

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Solution

The third proportional to 174,595,120 and 242,760,546 is: 337,539,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,595,120 : 242,760,546 = 242,760,546 : x
  2. Step 2: Convert to fraction form
    174,595,120/242,760,546 = 242,760,546/x
  3. Step 3: Cross multiply
    174,595,120x = 242,760,546 × 242,760,546
  4. Step 4: Simplify right side
    174,595,120x = 58,932,682,694,218,112
  5. Step 5: Solve for x
    x = 58,932,682,694,218,112/174,595,120
  6. Step 6: Final answer
    x = 337,539,117.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.