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Finding the Third Proportional to 46,726 and 99,996

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Solution

The third proportional to 46,726 and 99,996 is: 213,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,726 : 99,996 = 99,996 : x
  2. Step 2: Convert to fraction form
    46,726/99,996 = 99,996/x
  3. Step 3: Cross multiply
    46,726x = 99,996 × 99,996
  4. Step 4: Simplify right side
    46,726x = 9,999,200,016
  5. Step 5: Solve for x
    x = 9,999,200,016/46,726
  6. Step 6: Final answer
    x = 213,996.49

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