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Finding the Third Proportional to 191,857,256 and 421,969,504

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Solution

The third proportional to 191,857,256 and 421,969,504 is: 928,076,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,857,256 : 421,969,504 = 421,969,504 : x
  2. Step 2: Convert to fraction form
    191,857,256/421,969,504 = 421,969,504/x
  3. Step 3: Cross multiply
    191,857,256x = 421,969,504 × 421,969,504
  4. Step 4: Simplify right side
    191,857,256x = 178,058,262,306,006,016
  5. Step 5: Solve for x
    x = 178,058,262,306,006,016/191,857,256
  6. Step 6: Final answer
    x = 928,076,769.25

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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.