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Finding the Third Proportional to 90,895 and 196,310

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Solution

The third proportional to 90,895 and 196,310 is: 423,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,895 : 196,310 = 196,310 : x
  2. Step 2: Convert to fraction form
    90,895/196,310 = 196,310/x
  3. Step 3: Cross multiply
    90,895x = 196,310 × 196,310
  4. Step 4: Simplify right side
    90,895x = 38,537,616,100
  5. Step 5: Solve for x
    x = 38,537,616,100/90,895
  6. Step 6: Final answer
    x = 423,979.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.