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Finding the Third Proportional to 100,524.94 and 216,495

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Solution

The third proportional to 100,524.94 and 216,495 is: 466,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,524.94 : 216,495 = 216,495 : x
  2. Step 2: Convert to fraction form
    100,524.94/216,495 = 216,495/x
  3. Step 3: Cross multiply
    100,524.94x = 216,495 × 216,495
  4. Step 4: Simplify right side
    100,524.94x = 46,870,085,025
  5. Step 5: Solve for x
    x = 46,870,085,025/100,524.94
  6. Step 6: Final answer
    x = 466,253.31

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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.