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Finding the Third Proportional to 48,836,319 and 101,691,660

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Solution

The third proportional to 48,836,319 and 101,691,660 is: 211,752,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,836,319 : 101,691,660 = 101,691,660 : x
  2. Step 2: Convert to fraction form
    48,836,319/101,691,660 = 101,691,660/x
  3. Step 3: Cross multiply
    48,836,319x = 101,691,660 × 101,691,660
  4. Step 4: Simplify right side
    48,836,319x = 10,341,193,713,555,600
  5. Step 5: Solve for x
    x = 10,341,193,713,555,600/48,836,319
  6. Step 6: Final answer
    x = 211,752,112.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.