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Finding the Third Proportional to 90,582.19 and 196,772.63

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Solution

The third proportional to 90,582.19 and 196,772.63 is: 427,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,582.19 : 196,772.63 = 196,772.63 : x
  2. Step 2: Convert to fraction form
    90,582.19/196,772.63 = 196,772.63/x
  3. Step 3: Cross multiply
    90,582.19x = 196,772.63 × 196,772.63
  4. Step 4: Simplify right side
    90,582.19x = 38,719,465,949.39
  5. Step 5: Solve for x
    x = 38,719,465,949.39/90,582.19
  6. Step 6: Final answer
    x = 427,451.21

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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.