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Finding the Third Proportional to 90,549.06 and 196,654.87

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Solution

The third proportional to 90,549.06 and 196,654.87 is: 427,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,549.06 : 196,654.87 = 196,654.87 : x
  2. Step 2: Convert to fraction form
    90,549.06/196,654.87 = 196,654.87/x
  3. Step 3: Cross multiply
    90,549.06x = 196,654.87 × 196,654.87
  4. Step 4: Simplify right side
    90,549.06x = 38,673,137,556.71
  5. Step 5: Solve for x
    x = 38,673,137,556.71/90,549.06
  6. Step 6: Final answer
    x = 427,095.95

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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.