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Finding the Third Proportional to 46,143 and 100,902

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Solution

The third proportional to 46,143 and 100,902 is: 220,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,143 : 100,902 = 100,902 : x
  2. Step 2: Convert to fraction form
    46,143/100,902 = 100,902/x
  3. Step 3: Cross multiply
    46,143x = 100,902 × 100,902
  4. Step 4: Simplify right side
    46,143x = 10,181,213,604
  5. Step 5: Solve for x
    x = 10,181,213,604/46,143
  6. Step 6: Final answer
    x = 220,644.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.