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Finding the Third Proportional to 87,981.19 and 193,458.38

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Solution

The third proportional to 87,981.19 and 193,458.38 is: 425,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,981.19 : 193,458.38 = 193,458.38 : x
  2. Step 2: Convert to fraction form
    87,981.19/193,458.38 = 193,458.38/x
  3. Step 3: Cross multiply
    87,981.19x = 193,458.38 × 193,458.38
  4. Step 4: Simplify right side
    87,981.19x = 37,426,142,857.64
  5. Step 5: Solve for x
    x = 37,426,142,857.64/87,981.19
  6. Step 6: Final answer
    x = 425,388.02

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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.