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Finding the Third Proportional to 196,591,498 and 305,245,766

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Solution

The third proportional to 196,591,498 and 305,245,766 is: 473,952,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,591,498 : 305,245,766 = 305,245,766 : x
  2. Step 2: Convert to fraction form
    196,591,498/305,245,766 = 305,245,766/x
  3. Step 3: Cross multiply
    196,591,498x = 305,245,766 × 305,245,766
  4. Step 4: Simplify right side
    196,591,498x = 93,174,977,660,926,752
  5. Step 5: Solve for x
    x = 93,174,977,660,926,752/196,591,498
  6. Step 6: Final answer
    x = 473,952,223.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.