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Finding the Third Proportional to 203,114.81 and 440,128.13

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Solution

The third proportional to 203,114.81 and 440,128.13 is: 953,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,114.81 : 440,128.13 = 440,128.13 : x
  2. Step 2: Convert to fraction form
    203,114.81/440,128.13 = 440,128.13/x
  3. Step 3: Cross multiply
    203,114.81x = 440,128.13 × 440,128.13
  4. Step 4: Simplify right side
    203,114.81x = 193,712,766,416.02
  5. Step 5: Solve for x
    x = 193,712,766,416.02/203,114.81
  6. Step 6: Final answer
    x = 953,710.68

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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.