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Finding the Third Proportional to 42,968.25 and 92,283.75

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Solution

The third proportional to 42,968.25 and 92,283.75 is: 198,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,968.25 : 92,283.75 = 92,283.75 : x
  2. Step 2: Convert to fraction form
    42,968.25/92,283.75 = 92,283.75/x
  3. Step 3: Cross multiply
    42,968.25x = 92,283.75 × 92,283.75
  4. Step 4: Simplify right side
    42,968.25x = 8,516,290,514.06
  5. Step 5: Solve for x
    x = 8,516,290,514.06/42,968.25
  6. Step 6: Final answer
    x = 198,199.61

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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.