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Finding the Third Proportional to 97,538 and 209,624

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Solution

The third proportional to 97,538 and 209,624 is: 450,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,538 : 209,624 = 209,624 : x
  2. Step 2: Convert to fraction form
    97,538/209,624 = 209,624/x
  3. Step 3: Cross multiply
    97,538x = 209,624 × 209,624
  4. Step 4: Simplify right side
    97,538x = 43,942,221,376
  5. Step 5: Solve for x
    x = 43,942,221,376/97,538
  6. Step 6: Final answer
    x = 450,513.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.