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Finding the Third Proportional to 48,074,965,160 and 102,765,929,968

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Solution

The third proportional to 48,074,965,160 and 102,765,929,968 is: 219,674,342,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,074,965,160 : 102,765,929,968 = 102,765,929,968 : x
  2. Step 2: Convert to fraction form
    48,074,965,160/102,765,929,968 = 102,765,929,968/x
  3. Step 3: Cross multiply
    48,074,965,160x = 102,765,929,968 × 102,765,929,968
  4. Step 4: Simplify right side
    48,074,965,160x = 10,560,836,362,187,879,481,344
  5. Step 5: Solve for x
    x = 10,560,836,362,187,879,481,344/48,074,965,160
  6. Step 6: Final answer
    x = 219,674,342,499.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.