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Finding the Third Proportional to 94,219.45 and 205,045.17

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Solution

The third proportional to 94,219.45 and 205,045.17 is: 446,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,219.45 : 205,045.17 = 205,045.17 : x
  2. Step 2: Convert to fraction form
    94,219.45/205,045.17 = 205,045.17/x
  3. Step 3: Cross multiply
    94,219.45x = 205,045.17 × 205,045.17
  4. Step 4: Simplify right side
    94,219.45x = 42,043,522,509.25
  5. Step 5: Solve for x
    x = 42,043,522,509.25/94,219.45
  6. Step 6: Final answer
    x = 446,229.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.