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Finding the Third Proportional to 48,792,798 and 106,084,763

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Solution

The third proportional to 48,792,798 and 106,084,763 is: 230,648,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,792,798 : 106,084,763 = 106,084,763 : x
  2. Step 2: Convert to fraction form
    48,792,798/106,084,763 = 106,084,763/x
  3. Step 3: Cross multiply
    48,792,798x = 106,084,763 × 106,084,763
  4. Step 4: Simplify right side
    48,792,798x = 11,253,976,940,766,168
  5. Step 5: Solve for x
    x = 11,253,976,940,766,168/48,792,798
  6. Step 6: Final answer
    x = 230,648,321.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.