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Finding the Third Proportional to 46,150.13 and 71,193.75

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Solution

The third proportional to 46,150.13 and 71,193.75 is: 109,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,150.13 : 71,193.75 = 71,193.75 : x
  2. Step 2: Convert to fraction form
    46,150.13/71,193.75 = 71,193.75/x
  3. Step 3: Cross multiply
    46,150.13x = 71,193.75 × 71,193.75
  4. Step 4: Simplify right side
    46,150.13x = 5,068,550,039.06
  5. Step 5: Solve for x
    x = 5,068,550,039.06/46,150.13
  6. Step 6: Final answer
    x = 109,827.44

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.