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Finding the Third Proportional to 89,211.38 and 185,824.13

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Solution

The third proportional to 89,211.38 and 185,824.13 is: 387,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,211.38 : 185,824.13 = 185,824.13 : x
  2. Step 2: Convert to fraction form
    89,211.38/185,824.13 = 185,824.13/x
  3. Step 3: Cross multiply
    89,211.38x = 185,824.13 × 185,824.13
  4. Step 4: Simplify right side
    89,211.38x = 34,530,605,432.02
  5. Step 5: Solve for x
    x = 34,530,605,432.02/89,211.38
  6. Step 6: Final answer
    x = 387,065.05

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Why These Related Problems?

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