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Finding the Third Proportional to 104,082 and 228,900

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Solution

The third proportional to 104,082 and 228,900 is: 503,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,082 : 228,900 = 228,900 : x
  2. Step 2: Convert to fraction form
    104,082/228,900 = 228,900/x
  3. Step 3: Cross multiply
    104,082x = 228,900 × 228,900
  4. Step 4: Simplify right side
    104,082x = 52,395,210,000
  5. Step 5: Solve for x
    x = 52,395,210,000/104,082
  6. Step 6: Final answer
    x = 503,403.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.