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Finding the Third Proportional to 85,687,224 and 188,378,448

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Solution

The third proportional to 85,687,224 and 188,378,448 is: 414,139,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,687,224 : 188,378,448 = 188,378,448 : x
  2. Step 2: Convert to fraction form
    85,687,224/188,378,448 = 188,378,448/x
  3. Step 3: Cross multiply
    85,687,224x = 188,378,448 × 188,378,448
  4. Step 4: Simplify right side
    85,687,224x = 35,486,439,670,888,704
  5. Step 5: Solve for x
    x = 35,486,439,670,888,704/85,687,224
  6. Step 6: Final answer
    x = 414,139,214.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.