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Finding the Third Proportional to 99,144 and 204,957

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Solution

The third proportional to 99,144 and 204,957 is: 423,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,144 : 204,957 = 204,957 : x
  2. Step 2: Convert to fraction form
    99,144/204,957 = 204,957/x
  3. Step 3: Cross multiply
    99,144x = 204,957 × 204,957
  4. Step 4: Simplify right side
    99,144x = 42,007,371,849
  5. Step 5: Solve for x
    x = 42,007,371,849/99,144
  6. Step 6: Final answer
    x = 423,700.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.