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Finding the Third Proportional to 100,246 and 216,164

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Solution

The third proportional to 100,246 and 216,164 is: 466,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,246 : 216,164 = 216,164 : x
  2. Step 2: Convert to fraction form
    100,246/216,164 = 216,164/x
  3. Step 3: Cross multiply
    100,246x = 216,164 × 216,164
  4. Step 4: Simplify right side
    100,246x = 46,726,874,896
  5. Step 5: Solve for x
    x = 46,726,874,896/100,246
  6. Step 6: Final answer
    x = 466,122.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.