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Finding the Third Proportional to 88,192 and 193,943

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Solution

The third proportional to 88,192 and 193,943 is: 426,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,192 : 193,943 = 193,943 : x
  2. Step 2: Convert to fraction form
    88,192/193,943 = 193,943/x
  3. Step 3: Cross multiply
    88,192x = 193,943 × 193,943
  4. Step 4: Simplify right side
    88,192x = 37,613,887,249
  5. Step 5: Solve for x
    x = 37,613,887,249/88,192
  6. Step 6: Final answer
    x = 426,499.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.