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Finding the Third Proportional to 46,323 and 99,990

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Solution

The third proportional to 46,323 and 99,990 is: 215,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,323 : 99,990 = 99,990 : x
  2. Step 2: Convert to fraction form
    46,323/99,990 = 99,990/x
  3. Step 3: Cross multiply
    46,323x = 99,990 × 99,990
  4. Step 4: Simplify right side
    46,323x = 9,998,000,100
  5. Step 5: Solve for x
    x = 9,998,000,100/46,323
  6. Step 6: Final answer
    x = 215,832.31

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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.