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Finding the Third Proportional to 211,839,462 and 457,120,260

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Solution

The third proportional to 211,839,462 and 457,120,260 is: 986,402,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,839,462 : 457,120,260 = 457,120,260 : x
  2. Step 2: Convert to fraction form
    211,839,462/457,120,260 = 457,120,260/x
  3. Step 3: Cross multiply
    211,839,462x = 457,120,260 × 457,120,260
  4. Step 4: Simplify right side
    211,839,462x = 208,958,932,102,467,584
  5. Step 5: Solve for x
    x = 208,958,932,102,467,584/211,839,462
  6. Step 6: Final answer
    x = 986,402,297.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.