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Finding the Third Proportional to 121,047 and 188,200.50

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Solution

The third proportional to 121,047 and 188,200.50 is: 292,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,047 : 188,200.50 = 188,200.50 : x
  2. Step 2: Convert to fraction form
    121,047/188,200.50 = 188,200.50/x
  3. Step 3: Cross multiply
    121,047x = 188,200.50 × 188,200.50
  4. Step 4: Simplify right side
    121,047x = 35,419,428,200.25
  5. Step 5: Solve for x
    x = 35,419,428,200.25/121,047
  6. Step 6: Final answer
    x = 292,608.89

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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.