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Finding the Third Proportional to 43,227,873 and 92,633,742

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Solution

The third proportional to 43,227,873 and 92,633,742 is: 198,506,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,227,873 : 92,633,742 = 92,633,742 : x
  2. Step 2: Convert to fraction form
    43,227,873/92,633,742 = 92,633,742/x
  3. Step 3: Cross multiply
    43,227,873x = 92,633,742 × 92,633,742
  4. Step 4: Simplify right side
    43,227,873x = 8,581,010,156,922,564
  5. Step 5: Solve for x
    x = 8,581,010,156,922,564/43,227,873
  6. Step 6: Final answer
    x = 198,506,416.38

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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.