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Finding the Third Proportional to 51,816,981 and 110,808,415.50

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Solution

The third proportional to 51,816,981 and 110,808,415.50 is: 236,959,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,816,981 : 110,808,415.50 = 110,808,415.50 : x
  2. Step 2: Convert to fraction form
    51,816,981/110,808,415.50 = 110,808,415.50/x
  3. Step 3: Cross multiply
    51,816,981x = 110,808,415.50 × 110,808,415.50
  4. Step 4: Simplify right side
    51,816,981x = 12,278,504,945,620,640
  5. Step 5: Solve for x
    x = 12,278,504,945,620,640/51,816,981
  6. Step 6: Final answer
    x = 236,959,095.43

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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.