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Finding the Third Proportional to 92,016,797 and 196,959,574

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Solution

The third proportional to 92,016,797 and 196,959,574 is: 421,586,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,016,797 : 196,959,574 = 196,959,574 : x
  2. Step 2: Convert to fraction form
    92,016,797/196,959,574 = 196,959,574/x
  3. Step 3: Cross multiply
    92,016,797x = 196,959,574 × 196,959,574
  4. Step 4: Simplify right side
    92,016,797x = 38,793,073,790,261,472
  5. Step 5: Solve for x
    x = 38,793,073,790,261,472/92,016,797
  6. Step 6: Final answer
    x = 421,586,873.86

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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.