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Finding the Third Proportional to 45,970,108 and 98,914,622

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Solution

The third proportional to 45,970,108 and 98,914,622 is: 212,836,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,970,108 : 98,914,622 = 98,914,622 : x
  2. Step 2: Convert to fraction form
    45,970,108/98,914,622 = 98,914,622/x
  3. Step 3: Cross multiply
    45,970,108x = 98,914,622 × 98,914,622
  4. Step 4: Simplify right side
    45,970,108x = 9,784,102,445,402,884
  5. Step 5: Solve for x
    x = 9,784,102,445,402,884/45,970,108
  6. Step 6: Final answer
    x = 212,836,185.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.