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Finding the Third Proportional to 100,654 and 216,764

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Solution

The third proportional to 100,654 and 216,764 is: 466,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,654 : 216,764 = 216,764 : x
  2. Step 2: Convert to fraction form
    100,654/216,764 = 216,764/x
  3. Step 3: Cross multiply
    100,654x = 216,764 × 216,764
  4. Step 4: Simplify right side
    100,654x = 46,986,631,696
  5. Step 5: Solve for x
    x = 46,986,631,696/100,654
  6. Step 6: Final answer
    x = 466,813.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.