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Finding the Third Proportional to 46,244 and 99,502

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Solution

The third proportional to 46,244 and 99,502 is: 214,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,244 : 99,502 = 99,502 : x
  2. Step 2: Convert to fraction form
    46,244/99,502 = 99,502/x
  3. Step 3: Cross multiply
    46,244x = 99,502 × 99,502
  4. Step 4: Simplify right side
    46,244x = 9,900,648,004
  5. Step 5: Solve for x
    x = 9,900,648,004/46,244
  6. Step 6: Final answer
    x = 214,095.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.