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Finding the Third Proportional to 45,195 and 98,433

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Solution

The third proportional to 45,195 and 98,433 is: 214,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,195 : 98,433 = 98,433 : x
  2. Step 2: Convert to fraction form
    45,195/98,433 = 98,433/x
  3. Step 3: Cross multiply
    45,195x = 98,433 × 98,433
  4. Step 4: Simplify right side
    45,195x = 9,689,055,489
  5. Step 5: Solve for x
    x = 9,689,055,489/45,195
  6. Step 6: Final answer
    x = 214,383.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.