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Finding the Third Proportional to 92,016,801 and 196,959,582

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Solution

The third proportional to 92,016,801 and 196,959,582 is: 421,586,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,016,801 : 196,959,582 = 196,959,582 : x
  2. Step 2: Convert to fraction form
    92,016,801/196,959,582 = 196,959,582/x
  3. Step 3: Cross multiply
    92,016,801x = 196,959,582 × 196,959,582
  4. Step 4: Simplify right side
    92,016,801x = 38,793,076,941,614,720
  5. Step 5: Solve for x
    x = 38,793,076,941,614,720/92,016,801
  6. Step 6: Final answer
    x = 421,586,889.79

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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.