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Finding the Third Proportional to 203,767.88 and 446,901.75

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Solution

The third proportional to 203,767.88 and 446,901.75 is: 980,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,767.88 : 446,901.75 = 446,901.75 : x
  2. Step 2: Convert to fraction form
    203,767.88/446,901.75 = 446,901.75/x
  3. Step 3: Cross multiply
    203,767.88x = 446,901.75 × 446,901.75
  4. Step 4: Simplify right side
    203,767.88x = 199,721,174,153.06
  5. Step 5: Solve for x
    x = 199,721,174,153.06/203,767.88
  6. Step 6: Final answer
    x = 980,140.63

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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.