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Finding the Third Proportional to 46,016.25 and 98,588.25

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Solution

The third proportional to 46,016.25 and 98,588.25 is: 211,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,016.25 : 98,588.25 = 98,588.25 : x
  2. Step 2: Convert to fraction form
    46,016.25/98,588.25 = 98,588.25/x
  3. Step 3: Cross multiply
    46,016.25x = 98,588.25 × 98,588.25
  4. Step 4: Simplify right side
    46,016.25x = 9,719,643,038.06
  5. Step 5: Solve for x
    x = 9,719,643,038.06/46,016.25
  6. Step 6: Final answer
    x = 211,221.97

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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.