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Finding the Third Proportional to 97,782 and 206,072

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Solution

The third proportional to 97,782 and 206,072 is: 434,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,782 : 206,072 = 206,072 : x
  2. Step 2: Convert to fraction form
    97,782/206,072 = 206,072/x
  3. Step 3: Cross multiply
    97,782x = 206,072 × 206,072
  4. Step 4: Simplify right side
    97,782x = 42,465,669,184
  5. Step 5: Solve for x
    x = 42,465,669,184/97,782
  6. Step 6: Final answer
    x = 434,289.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.