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Finding the Third Proportional to 109,152 and 234,903.38

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Solution

The third proportional to 109,152 and 234,903.38 is: 505,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,152 : 234,903.38 = 234,903.38 : x
  2. Step 2: Convert to fraction form
    109,152/234,903.38 = 234,903.38/x
  3. Step 3: Cross multiply
    109,152x = 234,903.38 × 234,903.38
  4. Step 4: Simplify right side
    109,152x = 55,179,595,586.39
  5. Step 5: Solve for x
    x = 55,179,595,586.39/109,152
  6. Step 6: Final answer
    x = 505,529.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.