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Finding the Third Proportional to 99,544 and 216,582

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Solution

The third proportional to 99,544 and 216,582 is: 471,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,544 : 216,582 = 216,582 : x
  2. Step 2: Convert to fraction form
    99,544/216,582 = 216,582/x
  3. Step 3: Cross multiply
    99,544x = 216,582 × 216,582
  4. Step 4: Simplify right side
    99,544x = 46,907,762,724
  5. Step 5: Solve for x
    x = 46,907,762,724/99,544
  6. Step 6: Final answer
    x = 471,226.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.