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Finding the Third Proportional to 94,258.45 and 205,451.53

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Solution

The third proportional to 94,258.45 and 205,451.53 is: 447,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,258.45 : 205,451.53 = 205,451.53 : x
  2. Step 2: Convert to fraction form
    94,258.45/205,451.53 = 205,451.53/x
  3. Step 3: Cross multiply
    94,258.45x = 205,451.53 × 205,451.53
  4. Step 4: Simplify right side
    94,258.45x = 42,210,331,692.97
  5. Step 5: Solve for x
    x = 42,210,331,692.97/94,258.45
  6. Step 6: Final answer
    x = 447,814.81

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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.