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Finding the Third Proportional to 50,019 and 88,945.50

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Solution

The third proportional to 50,019 and 88,945.50 is: 158,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,019 : 88,945.50 = 88,945.50 : x
  2. Step 2: Convert to fraction form
    50,019/88,945.50 = 88,945.50/x
  3. Step 3: Cross multiply
    50,019x = 88,945.50 × 88,945.50
  4. Step 4: Simplify right side
    50,019x = 7,911,301,970.25
  5. Step 5: Solve for x
    x = 7,911,301,970.25/50,019
  6. Step 6: Final answer
    x = 158,165.94

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.