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Finding the Third Proportional to 201,077.44 and 418,691.53

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Solution

The third proportional to 201,077.44 and 418,691.53 is: 871,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,077.44 : 418,691.53 = 418,691.53 : x
  2. Step 2: Convert to fraction form
    201,077.44/418,691.53 = 418,691.53/x
  3. Step 3: Cross multiply
    201,077.44x = 418,691.53 × 418,691.53
  4. Step 4: Simplify right side
    201,077.44x = 175,302,598,340.47
  5. Step 5: Solve for x
    x = 175,302,598,340.47/201,077.44
  6. Step 6: Final answer
    x = 871,816.35

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.