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Finding the Third Proportional to 193,486.22 and 413,456.91

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Solution

The third proportional to 193,486.22 and 413,456.91 is: 883,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,486.22 : 413,456.91 = 413,456.91 : x
  2. Step 2: Convert to fraction form
    193,486.22/413,456.91 = 413,456.91/x
  3. Step 3: Cross multiply
    193,486.22x = 413,456.91 × 413,456.91
  4. Step 4: Simplify right side
    193,486.22x = 170,946,613,325.82
  5. Step 5: Solve for x
    x = 170,946,613,325.82/193,486.22
  6. Step 6: Final answer
    x = 883,507.95

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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.