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Finding the Third Proportional to 44,407.50 and 92,917.50

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Solution

The third proportional to 44,407.50 and 92,917.50 is: 194,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,407.50 : 92,917.50 = 92,917.50 : x
  2. Step 2: Convert to fraction form
    44,407.50/92,917.50 = 92,917.50/x
  3. Step 3: Cross multiply
    44,407.50x = 92,917.50 × 92,917.50
  4. Step 4: Simplify right side
    44,407.50x = 8,633,661,806.25
  5. Step 5: Solve for x
    x = 8,633,661,806.25/44,407.50
  6. Step 6: Final answer
    x = 194,419.00

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.