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Finding the Third Proportional to 45,804 and 99,084

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Solution

The third proportional to 45,804 and 99,084 is: 214,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,804 : 99,084 = 99,084 : x
  2. Step 2: Convert to fraction form
    45,804/99,084 = 99,084/x
  3. Step 3: Cross multiply
    45,804x = 99,084 × 99,084
  4. Step 4: Simplify right side
    45,804x = 9,817,639,056
  5. Step 5: Solve for x
    x = 9,817,639,056/45,804
  6. Step 6: Final answer
    x = 214,340.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.