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Finding the Third Proportional to 89,048 and 193,312

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Solution

The third proportional to 89,048 and 193,312 is: 419,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,048 : 193,312 = 193,312 : x
  2. Step 2: Convert to fraction form
    89,048/193,312 = 193,312/x
  3. Step 3: Cross multiply
    89,048x = 193,312 × 193,312
  4. Step 4: Simplify right side
    89,048x = 37,369,529,344
  5. Step 5: Solve for x
    x = 37,369,529,344/89,048
  6. Step 6: Final answer
    x = 419,656.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.