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Finding the Third Proportional to 85,401.42 and 182,628.42

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Solution

The third proportional to 85,401.42 and 182,628.42 is: 390,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,401.42 : 182,628.42 = 182,628.42 : x
  2. Step 2: Convert to fraction form
    85,401.42/182,628.42 = 182,628.42/x
  3. Step 3: Cross multiply
    85,401.42x = 182,628.42 × 182,628.42
  4. Step 4: Simplify right side
    85,401.42x = 33,353,140,476.55
  5. Step 5: Solve for x
    x = 33,353,140,476.55/85,401.42
  6. Step 6: Final answer
    x = 390,545.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.