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Finding the Third Proportional to 42,229.69 and 91,809.94

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Solution

The third proportional to 42,229.69 and 91,809.94 is: 199,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,229.69 : 91,809.94 = 91,809.94 : x
  2. Step 2: Convert to fraction form
    42,229.69/91,809.94 = 91,809.94/x
  3. Step 3: Cross multiply
    42,229.69x = 91,809.94 × 91,809.94
  4. Step 4: Simplify right side
    42,229.69x = 8,429,064,623.75
  5. Step 5: Solve for x
    x = 8,429,064,623.75/42,229.69
  6. Step 6: Final answer
    x = 199,600.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.