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Finding the Third Proportional to 89,471 and 195,020

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Solution

The third proportional to 89,471 and 195,020 is: 425,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,471 : 195,020 = 195,020 : x
  2. Step 2: Convert to fraction form
    89,471/195,020 = 195,020/x
  3. Step 3: Cross multiply
    89,471x = 195,020 × 195,020
  4. Step 4: Simplify right side
    89,471x = 38,032,800,400
  5. Step 5: Solve for x
    x = 38,032,800,400/89,471
  6. Step 6: Final answer
    x = 425,085.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.