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Finding the Third Proportional to 50,922,628.50 and 104,198,470.50

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Solution

The third proportional to 50,922,628.50 and 104,198,470.50 is: 213,212,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,922,628.50 : 104,198,470.50 = 104,198,470.50 : x
  2. Step 2: Convert to fraction form
    50,922,628.50/104,198,470.50 = 104,198,470.50/x
  3. Step 3: Cross multiply
    50,922,628.50x = 104,198,470.50 × 104,198,470.50
  4. Step 4: Simplify right side
    50,922,628.50x = 10,857,321,254,539,370
  5. Step 5: Solve for x
    x = 10,857,321,254,539,370/50,922,628.50
  6. Step 6: Final answer
    x = 213,212,113.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.