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Finding the Third Proportional to 21,109.78 and 46,114.88

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Solution

The third proportional to 21,109.78 and 46,114.88 is: 100,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109.78 : 46,114.88 = 46,114.88 : x
  2. Step 2: Convert to fraction form
    21,109.78/46,114.88 = 46,114.88/x
  3. Step 3: Cross multiply
    21,109.78x = 46,114.88 × 46,114.88
  4. Step 4: Simplify right side
    21,109.78x = 2,126,581,696.27
  5. Step 5: Solve for x
    x = 2,126,581,696.27/21,109.78
  6. Step 6: Final answer
    x = 100,739.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.