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Finding the Third Proportional to 95,364 and 206,792

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Solution

The third proportional to 95,364 and 206,792 is: 448,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,364 : 206,792 = 206,792 : x
  2. Step 2: Convert to fraction form
    95,364/206,792 = 206,792/x
  3. Step 3: Cross multiply
    95,364x = 206,792 × 206,792
  4. Step 4: Simplify right side
    95,364x = 42,762,931,264
  5. Step 5: Solve for x
    x = 42,762,931,264/95,364
  6. Step 6: Final answer
    x = 448,417.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.