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Finding the Third Proportional to 90,431 and 196,430

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Solution

The third proportional to 90,431 and 196,430 is: 426,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,431 : 196,430 = 196,430 : x
  2. Step 2: Convert to fraction form
    90,431/196,430 = 196,430/x
  3. Step 3: Cross multiply
    90,431x = 196,430 × 196,430
  4. Step 4: Simplify right side
    90,431x = 38,584,744,900
  5. Step 5: Solve for x
    x = 38,584,744,900/90,431
  6. Step 6: Final answer
    x = 426,676.08

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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.