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Finding the Third Proportional to 90,153 and 192,812.91

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Solution

The third proportional to 90,153 and 192,812.91 is: 412,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,153 : 192,812.91 = 192,812.91 : x
  2. Step 2: Convert to fraction form
    90,153/192,812.91 = 192,812.91/x
  3. Step 3: Cross multiply
    90,153x = 192,812.91 × 192,812.91
  4. Step 4: Simplify right side
    90,153x = 37,176,816,816.57
  5. Step 5: Solve for x
    x = 37,176,816,816.57/90,153
  6. Step 6: Final answer
    x = 412,374.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.