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Finding the Third Proportional to 42,823.13 and 92,193.75

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Solution

The third proportional to 42,823.13 and 92,193.75 is: 198,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,823.13 : 92,193.75 = 92,193.75 : x
  2. Step 2: Convert to fraction form
    42,823.13/92,193.75 = 92,193.75/x
  3. Step 3: Cross multiply
    42,823.13x = 92,193.75 × 92,193.75
  4. Step 4: Simplify right side
    42,823.13x = 8,499,687,539.06
  5. Step 5: Solve for x
    x = 8,499,687,539.06/42,823.13
  6. Step 6: Final answer
    x = 198,483.59

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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.