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Finding the Third Proportional to 203,114.88 and 440,128.25

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Solution

The third proportional to 203,114.88 and 440,128.25 is: 953,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,114.88 : 440,128.25 = 440,128.25 : x
  2. Step 2: Convert to fraction form
    203,114.88/440,128.25 = 440,128.25/x
  3. Step 3: Cross multiply
    203,114.88x = 440,128.25 × 440,128.25
  4. Step 4: Simplify right side
    203,114.88x = 193,712,876,448.06
  5. Step 5: Solve for x
    x = 193,712,876,448.06/203,114.88
  6. Step 6: Final answer
    x = 953,710.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.