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Finding the Third Proportional to 97,659 and 209,142

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Solution

The third proportional to 97,659 and 209,142 is: 447,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,659 : 209,142 = 209,142 : x
  2. Step 2: Convert to fraction form
    97,659/209,142 = 209,142/x
  3. Step 3: Cross multiply
    97,659x = 209,142 × 209,142
  4. Step 4: Simplify right side
    97,659x = 43,740,376,164
  5. Step 5: Solve for x
    x = 43,740,376,164/97,659
  6. Step 6: Final answer
    x = 447,888.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.