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Finding the Third Proportional to 43,241.98 and 94,996.97

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Solution

The third proportional to 43,241.98 and 94,996.97 is: 208,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,241.98 : 94,996.97 = 94,996.97 : x
  2. Step 2: Convert to fraction form
    43,241.98/94,996.97 = 94,996.97/x
  3. Step 3: Cross multiply
    43,241.98x = 94,996.97 × 94,996.97
  4. Step 4: Simplify right side
    43,241.98x = 9,024,424,071.69
  5. Step 5: Solve for x
    x = 9,024,424,071.69/43,241.98
  6. Step 6: Final answer
    x = 208,695.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.