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Finding the Third Proportional to 93,934.13 and 192,468.38

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Solution

The third proportional to 93,934.13 and 192,468.38 is: 394,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,934.13 : 192,468.38 = 192,468.38 : x
  2. Step 2: Convert to fraction form
    93,934.13/192,468.38 = 192,468.38/x
  3. Step 3: Cross multiply
    93,934.13x = 192,468.38 × 192,468.38
  4. Step 4: Simplify right side
    93,934.13x = 37,044,075,375.14
  5. Step 5: Solve for x
    x = 37,044,075,375.14/93,934.13
  6. Step 6: Final answer
    x = 394,362.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.