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Finding the Third Proportional to 46,024 and 99,296

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Solution

The third proportional to 46,024 and 99,296 is: 214,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,024 : 99,296 = 99,296 : x
  2. Step 2: Convert to fraction form
    46,024/99,296 = 99,296/x
  3. Step 3: Cross multiply
    46,024x = 99,296 × 99,296
  4. Step 4: Simplify right side
    46,024x = 9,859,695,616
  5. Step 5: Solve for x
    x = 9,859,695,616/46,024
  6. Step 6: Final answer
    x = 214,229.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.