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Finding the Third Proportional to 46,182 and 99,836

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Solution

The third proportional to 46,182 and 99,836 is: 215,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,182 : 99,836 = 99,836 : x
  2. Step 2: Convert to fraction form
    46,182/99,836 = 99,836/x
  3. Step 3: Cross multiply
    46,182x = 99,836 × 99,836
  4. Step 4: Simplify right side
    46,182x = 9,967,226,896
  5. Step 5: Solve for x
    x = 9,967,226,896/46,182
  6. Step 6: Final answer
    x = 215,824.93

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