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Finding the Third Proportional to 99,752 and 213,516

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Solution

The third proportional to 99,752 and 213,516 is: 457,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,752 : 213,516 = 213,516 : x
  2. Step 2: Convert to fraction form
    99,752/213,516 = 213,516/x
  3. Step 3: Cross multiply
    99,752x = 213,516 × 213,516
  4. Step 4: Simplify right side
    99,752x = 45,589,082,256
  5. Step 5: Solve for x
    x = 45,589,082,256/99,752
  6. Step 6: Final answer
    x = 457,024.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.