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Finding the Third Proportional to 45,505,982 and 100,288,323

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Solution

The third proportional to 45,505,982 and 100,288,323 is: 221,020,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,505,982 : 100,288,323 = 100,288,323 : x
  2. Step 2: Convert to fraction form
    45,505,982/100,288,323 = 100,288,323/x
  3. Step 3: Cross multiply
    45,505,982x = 100,288,323 × 100,288,323
  4. Step 4: Simplify right side
    45,505,982x = 10,057,747,730,152,328
  5. Step 5: Solve for x
    x = 10,057,747,730,152,328/45,505,982
  6. Step 6: Final answer
    x = 221,020,342.56

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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.