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Finding the Third Proportional to 50,296,200.75 and 74,323,230.75

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Solution

The third proportional to 50,296,200.75 and 74,323,230.75 is: 109,828,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296,200.75 : 74,323,230.75 = 74,323,230.75 : x
  2. Step 2: Convert to fraction form
    50,296,200.75/74,323,230.75 = 74,323,230.75/x
  3. Step 3: Cross multiply
    50,296,200.75x = 74,323,230.75 × 74,323,230.75
  4. Step 4: Simplify right side
    50,296,200.75x = 5,523,942,629,117,746
  5. Step 5: Solve for x
    x = 5,523,942,629,117,746/50,296,200.75
  6. Step 6: Final answer
    x = 109,828,228.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.