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Finding the Third Proportional to 202,162,671 and 295,662,388.50

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Solution

The third proportional to 202,162,671 and 295,662,388.50 is: 432,405,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,162,671 : 295,662,388.50 = 295,662,388.50 : x
  2. Step 2: Convert to fraction form
    202,162,671/295,662,388.50 = 295,662,388.50/x
  3. Step 3: Cross multiply
    202,162,671x = 295,662,388.50 × 295,662,388.50
  4. Step 4: Simplify right side
    202,162,671x = 87,416,247,973,524,928
  5. Step 5: Solve for x
    x = 87,416,247,973,524,928/202,162,671
  6. Step 6: Final answer
    x = 432,405,485.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.