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Finding the Third Proportional to 105,105.50 and 151,097

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Solution

The third proportional to 105,105.50 and 151,097 is: 217,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,105.50 : 151,097 = 151,097 : x
  2. Step 2: Convert to fraction form
    105,105.50/151,097 = 151,097/x
  3. Step 3: Cross multiply
    105,105.50x = 151,097 × 151,097
  4. Step 4: Simplify right side
    105,105.50x = 22,830,303,409
  5. Step 5: Solve for x
    x = 22,830,303,409/105,105.50
  6. Step 6: Final answer
    x = 217,213.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.