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Finding the Third Proportional to 92,016,796 and 196,959,572

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Solution

The third proportional to 92,016,796 and 196,959,572 is: 421,586,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,016,796 : 196,959,572 = 196,959,572 : x
  2. Step 2: Convert to fraction form
    92,016,796/196,959,572 = 196,959,572/x
  3. Step 3: Cross multiply
    92,016,796x = 196,959,572 × 196,959,572
  4. Step 4: Simplify right side
    92,016,796x = 38,793,073,002,423,184
  5. Step 5: Solve for x
    x = 38,793,073,002,423,184/92,016,796
  6. Step 6: Final answer
    x = 421,586,869.88

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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.