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Finding the Third Proportional to 46,180.13 and 99,727.31

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Solution

The third proportional to 46,180.13 and 99,727.31 is: 215,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,180.13 : 99,727.31 = 99,727.31 : x
  2. Step 2: Convert to fraction form
    46,180.13/99,727.31 = 99,727.31/x
  3. Step 3: Cross multiply
    46,180.13x = 99,727.31 × 99,727.31
  4. Step 4: Simplify right side
    46,180.13x = 9,945,536,858.47
  5. Step 5: Solve for x
    x = 9,945,536,858.47/46,180.13
  6. Step 6: Final answer
    x = 215,364.01

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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.