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Finding the Third Proportional to 211,519,933.88 and 463,900,626.56

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Solution

The third proportional to 211,519,933.88 and 463,900,626.56 is: 1,017,416,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,519,933.88 : 463,900,626.56 = 463,900,626.56 : x
  2. Step 2: Convert to fraction form
    211,519,933.88/463,900,626.56 = 463,900,626.56/x
  3. Step 3: Cross multiply
    211,519,933.88x = 463,900,626.56 × 463,900,626.56
  4. Step 4: Simplify right side
    211,519,933.88x = 215,203,791,325,080,096
  5. Step 5: Solve for x
    x = 215,203,791,325,080,096/211,519,933.88
  6. Step 6: Final answer
    x = 1,017,416,124.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.