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Finding the Third Proportional to 121,419 and 183,820.50

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Solution

The third proportional to 121,419 and 183,820.50 is: 278,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,419 : 183,820.50 = 183,820.50 : x
  2. Step 2: Convert to fraction form
    121,419/183,820.50 = 183,820.50/x
  3. Step 3: Cross multiply
    121,419x = 183,820.50 × 183,820.50
  4. Step 4: Simplify right side
    121,419x = 33,789,976,220.25
  5. Step 5: Solve for x
    x = 33,789,976,220.25/121,419
  6. Step 6: Final answer
    x = 278,292.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.