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Finding the Third Proportional to 117,487.13 and 232,512.19

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Solution

The third proportional to 117,487.13 and 232,512.19 is: 460,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,487.13 : 232,512.19 = 232,512.19 : x
  2. Step 2: Convert to fraction form
    117,487.13/232,512.19 = 232,512.19/x
  3. Step 3: Cross multiply
    117,487.13x = 232,512.19 × 232,512.19
  4. Step 4: Simplify right side
    117,487.13x = 54,061,917,336.04
  5. Step 5: Solve for x
    x = 54,061,917,336.04/117,487.13
  6. Step 6: Final answer
    x = 460,151.85

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.