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Finding the Third Proportional to 49,320 and 108,477

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Solution

The third proportional to 49,320 and 108,477 is: 238,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,320 : 108,477 = 108,477 : x
  2. Step 2: Convert to fraction form
    49,320/108,477 = 108,477/x
  3. Step 3: Cross multiply
    49,320x = 108,477 × 108,477
  4. Step 4: Simplify right side
    49,320x = 11,767,259,529
  5. Step 5: Solve for x
    x = 11,767,259,529/49,320
  6. Step 6: Final answer
    x = 238,590.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.