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Finding the Third Proportional to 100,176.50 and 211,531

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Solution

The third proportional to 100,176.50 and 211,531 is: 446,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176.50 : 211,531 = 211,531 : x
  2. Step 2: Convert to fraction form
    100,176.50/211,531 = 211,531/x
  3. Step 3: Cross multiply
    100,176.50x = 211,531 × 211,531
  4. Step 4: Simplify right side
    100,176.50x = 44,745,363,961
  5. Step 5: Solve for x
    x = 44,745,363,961/100,176.50
  6. Step 6: Final answer
    x = 446,665.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.