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Finding the Third Proportional to 45,338 and 98,209

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Solution

The third proportional to 45,338 and 98,209 is: 212,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,338 : 98,209 = 98,209 : x
  2. Step 2: Convert to fraction form
    45,338/98,209 = 98,209/x
  3. Step 3: Cross multiply
    45,338x = 98,209 × 98,209
  4. Step 4: Simplify right side
    45,338x = 9,645,007,681
  5. Step 5: Solve for x
    x = 9,645,007,681/45,338
  6. Step 6: Final answer
    x = 212,735.62

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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.