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Finding the Third Proportional to 211,253,150 and 453,743,244

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Solution

The third proportional to 211,253,150 and 453,743,244 is: 974,579,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,253,150 : 453,743,244 = 453,743,244 : x
  2. Step 2: Convert to fraction form
    211,253,150/453,743,244 = 453,743,244/x
  3. Step 3: Cross multiply
    211,253,150x = 453,743,244 × 453,743,244
  4. Step 4: Simplify right side
    211,253,150x = 205,882,931,475,643,520
  5. Step 5: Solve for x
    x = 205,882,931,475,643,520/211,253,150
  6. Step 6: Final answer
    x = 974,579,226.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.