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Finding the Third Proportional to 99,272.25 and 216,040.50

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Solution

The third proportional to 99,272.25 and 216,040.50 is: 470,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,272.25 : 216,040.50 = 216,040.50 : x
  2. Step 2: Convert to fraction form
    99,272.25/216,040.50 = 216,040.50/x
  3. Step 3: Cross multiply
    99,272.25x = 216,040.50 × 216,040.50
  4. Step 4: Simplify right side
    99,272.25x = 46,673,497,640.25
  5. Step 5: Solve for x
    x = 46,673,497,640.25/99,272.25
  6. Step 6: Final answer
    x = 470,156.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.