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Finding the Third Proportional to 99,636.50 and 211,423

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Solution

The third proportional to 99,636.50 and 211,423 is: 448,627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,636.50 : 211,423 = 211,423 : x
  2. Step 2: Convert to fraction form
    99,636.50/211,423 = 211,423/x
  3. Step 3: Cross multiply
    99,636.50x = 211,423 × 211,423
  4. Step 4: Simplify right side
    99,636.50x = 44,699,684,929
  5. Step 5: Solve for x
    x = 44,699,684,929/99,636.50
  6. Step 6: Final answer
    x = 448,627.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.