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Finding the Third Proportional to 121,861.13 and 188,323.31

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Solution

The third proportional to 121,861.13 and 188,323.31 is: 291,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,861.13 : 188,323.31 = 188,323.31 : x
  2. Step 2: Convert to fraction form
    121,861.13/188,323.31 = 188,323.31/x
  3. Step 3: Cross multiply
    121,861.13x = 188,323.31 × 188,323.31
  4. Step 4: Simplify right side
    121,861.13x = 35,465,670,030.97
  5. Step 5: Solve for x
    x = 35,465,670,030.97/121,861.13
  6. Step 6: Final answer
    x = 291,033.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.