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Finding the Third Proportional to 90,423.84 and 192,838.22

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Solution

The third proportional to 90,423.84 and 192,838.22 is: 411,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,423.84 : 192,838.22 = 192,838.22 : x
  2. Step 2: Convert to fraction form
    90,423.84/192,838.22 = 192,838.22/x
  3. Step 3: Cross multiply
    90,423.84x = 192,838.22 × 192,838.22
  4. Step 4: Simplify right side
    90,423.84x = 37,186,578,610.67
  5. Step 5: Solve for x
    x = 37,186,578,610.67/90,423.84
  6. Step 6: Final answer
    x = 411,247.49

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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.