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Finding the Third Proportional to 46,444.50 and 100,215

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Solution

The third proportional to 46,444.50 and 100,215 is: 216,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,444.50 : 100,215 = 100,215 : x
  2. Step 2: Convert to fraction form
    46,444.50/100,215 = 100,215/x
  3. Step 3: Cross multiply
    46,444.50x = 100,215 × 100,215
  4. Step 4: Simplify right side
    46,444.50x = 10,043,046,225
  5. Step 5: Solve for x
    x = 10,043,046,225/46,444.50
  6. Step 6: Final answer
    x = 216,237.58

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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.