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Finding the Third Proportional to 48,122,278 and 103,914,981

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Solution

The third proportional to 48,122,278 and 103,914,981 is: 224,393,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,122,278 : 103,914,981 = 103,914,981 : x
  2. Step 2: Convert to fraction form
    48,122,278/103,914,981 = 103,914,981/x
  3. Step 3: Cross multiply
    48,122,278x = 103,914,981 × 103,914,981
  4. Step 4: Simplify right side
    48,122,278x = 10,798,323,276,230,360
  5. Step 5: Solve for x
    x = 10,798,323,276,230,360/48,122,278
  6. Step 6: Final answer
    x = 224,393,435.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.