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Finding the Third Proportional to 45,505,971 and 100,288,300

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Solution

The third proportional to 45,505,971 and 100,288,300 is: 221,020,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,505,971 : 100,288,300 = 100,288,300 : x
  2. Step 2: Convert to fraction form
    45,505,971/100,288,300 = 100,288,300/x
  3. Step 3: Cross multiply
    45,505,971x = 100,288,300 × 100,288,300
  4. Step 4: Simplify right side
    45,505,971x = 10,057,743,116,890,000
  5. Step 5: Solve for x
    x = 10,057,743,116,890,000/45,505,971
  6. Step 6: Final answer
    x = 221,020,294.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.