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Finding the Third Proportional to 42,842.25 and 92,262.38

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Solution

The third proportional to 42,842.25 and 92,262.38 is: 198,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842.25 : 92,262.38 = 92,262.38 : x
  2. Step 2: Convert to fraction form
    42,842.25/92,262.38 = 92,262.38/x
  3. Step 3: Cross multiply
    42,842.25x = 92,262.38 × 92,262.38
  4. Step 4: Simplify right side
    42,842.25x = 8,512,345,840.64
  5. Step 5: Solve for x
    x = 8,512,345,840.64/42,842.25
  6. Step 6: Final answer
    x = 198,690.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.