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Finding the Third Proportional to 139,194 and 216,082.50

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Solution

The third proportional to 139,194 and 216,082.50 is: 335,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,194 : 216,082.50 = 216,082.50 : x
  2. Step 2: Convert to fraction form
    139,194/216,082.50 = 216,082.50/x
  3. Step 3: Cross multiply
    139,194x = 216,082.50 × 216,082.50
  4. Step 4: Simplify right side
    139,194x = 46,691,646,806.25
  5. Step 5: Solve for x
    x = 46,691,646,806.25/139,194
  6. Step 6: Final answer
    x = 335,442.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.