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Finding the Third Proportional to 46,161 and 99,383.63

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Solution

The third proportional to 46,161 and 99,383.63 is: 213,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,161 : 99,383.63 = 99,383.63 : x
  2. Step 2: Convert to fraction form
    46,161/99,383.63 = 99,383.63/x
  3. Step 3: Cross multiply
    46,161x = 99,383.63 × 99,383.63
  4. Step 4: Simplify right side
    46,161x = 9,877,104,918.14
  5. Step 5: Solve for x
    x = 9,877,104,918.14/46,161
  6. Step 6: Final answer
    x = 213,970.77

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