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Finding the Third Proportional to 94,697 and 204,082

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Solution

The third proportional to 94,697 and 204,082 is: 439,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,697 : 204,082 = 204,082 : x
  2. Step 2: Convert to fraction form
    94,697/204,082 = 204,082/x
  3. Step 3: Cross multiply
    94,697x = 204,082 × 204,082
  4. Step 4: Simplify right side
    94,697x = 41,649,462,724
  5. Step 5: Solve for x
    x = 41,649,462,724/94,697
  6. Step 6: Final answer
    x = 439,818.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.