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Finding the Third Proportional to 89,480.53 and 192,971.53

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Solution

The third proportional to 89,480.53 and 192,971.53 is: 416,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,480.53 : 192,971.53 = 192,971.53 : x
  2. Step 2: Convert to fraction form
    89,480.53/192,971.53 = 192,971.53/x
  3. Step 3: Cross multiply
    89,480.53x = 192,971.53 × 192,971.53
  4. Step 4: Simplify right side
    89,480.53x = 37,238,011,872.97
  5. Step 5: Solve for x
    x = 37,238,011,872.97/89,480.53
  6. Step 6: Final answer
    x = 416,157.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.