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Finding the Third Proportional to 46,016.44 and 98,588.81

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Solution

The third proportional to 46,016.44 and 98,588.81 is: 211,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,016.44 : 98,588.81 = 98,588.81 : x
  2. Step 2: Convert to fraction form
    46,016.44/98,588.81 = 98,588.81/x
  3. Step 3: Cross multiply
    46,016.44x = 98,588.81 × 98,588.81
  4. Step 4: Simplify right side
    46,016.44x = 9,719,753,950.16
  5. Step 5: Solve for x
    x = 9,719,753,950.16/46,016.44
  6. Step 6: Final answer
    x = 211,223.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.