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Finding the Third Proportional to 211,839,464 and 457,120,264

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Solution

The third proportional to 211,839,464 and 457,120,264 is: 986,402,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,839,464 : 457,120,264 = 457,120,264 : x
  2. Step 2: Convert to fraction form
    211,839,464/457,120,264 = 457,120,264/x
  3. Step 3: Cross multiply
    211,839,464x = 457,120,264 × 457,120,264
  4. Step 4: Simplify right side
    211,839,464x = 208,958,935,759,429,696
  5. Step 5: Solve for x
    x = 208,958,935,759,429,696/211,839,464
  6. Step 6: Final answer
    x = 986,402,305.85

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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.