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Finding the Third Proportional to 193,677,006 and 414,984,540

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Solution

The third proportional to 193,677,006 and 414,984,540 is: 889,171,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,677,006 : 414,984,540 = 414,984,540 : x
  2. Step 2: Convert to fraction form
    193,677,006/414,984,540 = 414,984,540/x
  3. Step 3: Cross multiply
    193,677,006x = 414,984,540 × 414,984,540
  4. Step 4: Simplify right side
    193,677,006x = 172,212,168,439,011,584
  5. Step 5: Solve for x
    x = 172,212,168,439,011,584/193,677,006
  6. Step 6: Final answer
    x = 889,171,987.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.