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Finding the Third Proportional to 97,281 and 199,388.25

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Solution

The third proportional to 97,281 and 199,388.25 is: 408,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,281 : 199,388.25 = 199,388.25 : x
  2. Step 2: Convert to fraction form
    97,281/199,388.25 = 199,388.25/x
  3. Step 3: Cross multiply
    97,281x = 199,388.25 × 199,388.25
  4. Step 4: Simplify right side
    97,281x = 39,755,674,238.06
  5. Step 5: Solve for x
    x = 39,755,674,238.06/97,281
  6. Step 6: Final answer
    x = 408,668.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.