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Finding the Third Proportional to 42,851.53 and 94,008.09

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Solution

The third proportional to 42,851.53 and 94,008.09 is: 206,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,851.53 : 94,008.09 = 94,008.09 : x
  2. Step 2: Convert to fraction form
    42,851.53/94,008.09 = 94,008.09/x
  3. Step 3: Cross multiply
    42,851.53x = 94,008.09 × 94,008.09
  4. Step 4: Simplify right side
    42,851.53x = 8,837,521,690.51
  5. Step 5: Solve for x
    x = 8,837,521,690.51/42,851.53
  6. Step 6: Final answer
    x = 206,235.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.