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Finding the Third Proportional to 44,857.13 and 94,361.63

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Solution

The third proportional to 44,857.13 and 94,361.63 is: 198,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,857.13 : 94,361.63 = 94,361.63 : x
  2. Step 2: Convert to fraction form
    44,857.13/94,361.63 = 94,361.63/x
  3. Step 3: Cross multiply
    44,857.13x = 94,361.63 × 94,361.63
  4. Step 4: Simplify right side
    44,857.13x = 8,904,116,272.64
  5. Step 5: Solve for x
    x = 8,904,116,272.64/44,857.13
  6. Step 6: Final answer
    x = 198,499.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.