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Finding the Third Proportional to 99,640 and 215,562

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Solution

The third proportional to 99,640 and 215,562 is: 466,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,640 : 215,562 = 215,562 : x
  2. Step 2: Convert to fraction form
    99,640/215,562 = 215,562/x
  3. Step 3: Cross multiply
    99,640x = 215,562 × 215,562
  4. Step 4: Simplify right side
    99,640x = 46,466,975,844
  5. Step 5: Solve for x
    x = 46,466,975,844/99,640
  6. Step 6: Final answer
    x = 466,348.61

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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.