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Finding the Third Proportional to 43,074,992 and 92,204,829

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Solution

The third proportional to 43,074,992 and 92,204,829 is: 197,370,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,074,992 : 92,204,829 = 92,204,829 : x
  2. Step 2: Convert to fraction form
    43,074,992/92,204,829 = 92,204,829/x
  3. Step 3: Cross multiply
    43,074,992x = 92,204,829 × 92,204,829
  4. Step 4: Simplify right side
    43,074,992x = 8,501,730,490,919,241
  5. Step 5: Solve for x
    x = 8,501,730,490,919,241/43,074,992
  6. Step 6: Final answer
    x = 197,370,448.52

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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.