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Finding the Third Proportional to 83,697,243.75 and 177,351,168.75

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Solution

The third proportional to 83,697,243.75 and 177,351,168.75 is: 375,800,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,697,243.75 : 177,351,168.75 = 177,351,168.75 : x
  2. Step 2: Convert to fraction form
    83,697,243.75/177,351,168.75 = 177,351,168.75/x
  3. Step 3: Cross multiply
    83,697,243.75x = 177,351,168.75 × 177,351,168.75
  4. Step 4: Simplify right side
    83,697,243.75x = 31,453,437,056,990,976
  5. Step 5: Solve for x
    x = 31,453,437,056,990,976/83,697,243.75
  6. Step 6: Final answer
    x = 375,800,153.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.