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Finding the Third Proportional to 94,192 and 205,880

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Solution

The third proportional to 94,192 and 205,880 is: 450,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,192 : 205,880 = 205,880 : x
  2. Step 2: Convert to fraction form
    94,192/205,880 = 205,880/x
  3. Step 3: Cross multiply
    94,192x = 205,880 × 205,880
  4. Step 4: Simplify right side
    94,192x = 42,386,574,400
  5. Step 5: Solve for x
    x = 42,386,574,400/94,192
  6. Step 6: Final answer
    x = 450,001.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.