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Finding the Third Proportional to 90,422.58 and 196,412.34

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Solution

The third proportional to 90,422.58 and 196,412.34 is: 426,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,422.58 : 196,412.34 = 196,412.34 : x
  2. Step 2: Convert to fraction form
    90,422.58/196,412.34 = 196,412.34/x
  3. Step 3: Cross multiply
    90,422.58x = 196,412.34 × 196,412.34
  4. Step 4: Simplify right side
    90,422.58x = 38,577,808,777.37
  5. Step 5: Solve for x
    x = 38,577,808,777.37/90,422.58
  6. Step 6: Final answer
    x = 426,639.12

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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.