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Finding the Third Proportional to 41,804 and 89,277.50

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Solution

The third proportional to 41,804 and 89,277.50 is: 190,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,804 : 89,277.50 = 89,277.50 : x
  2. Step 2: Convert to fraction form
    41,804/89,277.50 = 89,277.50/x
  3. Step 3: Cross multiply
    41,804x = 89,277.50 × 89,277.50
  4. Step 4: Simplify right side
    41,804x = 7,970,472,006.25
  5. Step 5: Solve for x
    x = 7,970,472,006.25/41,804
  6. Step 6: Final answer
    x = 190,662.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.