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Finding the Third Proportional to 211,647,365 and 455,729,236

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Solution

The third proportional to 211,647,365 and 455,729,236 is: 981,298,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,647,365 : 455,729,236 = 455,729,236 : x
  2. Step 2: Convert to fraction form
    211,647,365/455,729,236 = 455,729,236/x
  3. Step 3: Cross multiply
    211,647,365x = 455,729,236 × 455,729,236
  4. Step 4: Simplify right side
    211,647,365x = 207,689,136,545,143,680
  5. Step 5: Solve for x
    x = 207,689,136,545,143,680/211,647,365
  6. Step 6: Final answer
    x = 981,298,002.67

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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.