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Finding the Third Proportional to 90,465.75 and 192,954.38

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Solution

The third proportional to 90,465.75 and 192,954.38 is: 411,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,465.75 : 192,954.38 = 192,954.38 : x
  2. Step 2: Convert to fraction form
    90,465.75/192,954.38 = 192,954.38/x
  3. Step 3: Cross multiply
    90,465.75x = 192,954.38 × 192,954.38
  4. Step 4: Simplify right side
    90,465.75x = 37,231,390,831.64
  5. Step 5: Solve for x
    x = 37,231,390,831.64/90,465.75
  6. Step 6: Final answer
    x = 411,552.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.