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Finding the Third Proportional to 51,831,696 and 113,426,161

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Solution

The third proportional to 51,831,696 and 113,426,161 is: 248,216,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,831,696 : 113,426,161 = 113,426,161 : x
  2. Step 2: Convert to fraction form
    51,831,696/113,426,161 = 113,426,161/x
  3. Step 3: Cross multiply
    51,831,696x = 113,426,161 × 113,426,161
  4. Step 4: Simplify right side
    51,831,696x = 12,865,493,999,197,920
  5. Step 5: Solve for x
    x = 12,865,493,999,197,920/51,831,696
  6. Step 6: Final answer
    x = 248,216,728.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.