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Finding the Third Proportional to 97,306 and 207,166

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Solution

The third proportional to 97,306 and 207,166 is: 441,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,306 : 207,166 = 207,166 : x
  2. Step 2: Convert to fraction form
    97,306/207,166 = 207,166/x
  3. Step 3: Cross multiply
    97,306x = 207,166 × 207,166
  4. Step 4: Simplify right side
    97,306x = 42,917,751,556
  5. Step 5: Solve for x
    x = 42,917,751,556/97,306
  6. Step 6: Final answer
    x = 441,059.66

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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.