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Finding the Third Proportional to 48,198,922 and 106,175,515

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Solution

The third proportional to 48,198,922 and 106,175,515 is: 233,889,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198,922 : 106,175,515 = 106,175,515 : x
  2. Step 2: Convert to fraction form
    48,198,922/106,175,515 = 106,175,515/x
  3. Step 3: Cross multiply
    48,198,922x = 106,175,515 × 106,175,515
  4. Step 4: Simplify right side
    48,198,922x = 11,273,239,985,515,224
  5. Step 5: Solve for x
    x = 11,273,239,985,515,224/48,198,922
  6. Step 6: Final answer
    x = 233,889,877.98

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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.