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Finding the Third Proportional to 97,870 and 208,559

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Solution

The third proportional to 97,870 and 208,559 is: 444,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,870 : 208,559 = 208,559 : x
  2. Step 2: Convert to fraction form
    97,870/208,559 = 208,559/x
  3. Step 3: Cross multiply
    97,870x = 208,559 × 208,559
  4. Step 4: Simplify right side
    97,870x = 43,496,856,481
  5. Step 5: Solve for x
    x = 43,496,856,481/97,870
  6. Step 6: Final answer
    x = 444,435.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.