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Finding the Third Proportional to 188,942,702,872.50 and 416,397,946,977

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Solution

The third proportional to 188,942,702,872.50 and 416,397,946,977 is: 917,671,059,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,942,702,872.50 : 416,397,946,977 = 416,397,946,977 : x
  2. Step 2: Convert to fraction form
    188,942,702,872.50/416,397,946,977 = 416,397,946,977/x
  3. Step 3: Cross multiply
    188,942,702,872.50x = 416,397,946,977 × 416,397,946,977
  4. Step 4: Simplify right side
    188,942,702,872.50x = 173,387,250,246,660,506,255,360
  5. Step 5: Solve for x
    x = 173,387,250,246,660,506,255,360/188,942,702,872.50
  6. Step 6: Final answer
    x = 917,671,059,059.97

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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.