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Finding the Third Proportional to 46,936.13 and 97,755.19

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Solution

The third proportional to 46,936.13 and 97,755.19 is: 203,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,936.13 : 97,755.19 = 97,755.19 : x
  2. Step 2: Convert to fraction form
    46,936.13/97,755.19 = 97,755.19/x
  3. Step 3: Cross multiply
    46,936.13x = 97,755.19 × 97,755.19
  4. Step 4: Simplify right side
    46,936.13x = 9,556,076,683.16
  5. Step 5: Solve for x
    x = 9,556,076,683.16/46,936.13
  6. Step 6: Final answer
    x = 203,597.48

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.