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Finding the Third Proportional to 99,743.25 and 216,440.25

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Solution

The third proportional to 99,743.25 and 216,440.25 is: 469,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,743.25 : 216,440.25 = 216,440.25 : x
  2. Step 2: Convert to fraction form
    99,743.25/216,440.25 = 216,440.25/x
  3. Step 3: Cross multiply
    99,743.25x = 216,440.25 × 216,440.25
  4. Step 4: Simplify right side
    99,743.25x = 46,846,381,820.06
  5. Step 5: Solve for x
    x = 46,846,381,820.06/99,743.25
  6. Step 6: Final answer
    x = 469,669.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.