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Finding the Third Proportional to 101,803.50 and 215,097

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Solution

The third proportional to 101,803.50 and 215,097 is: 454,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,803.50 : 215,097 = 215,097 : x
  2. Step 2: Convert to fraction form
    101,803.50/215,097 = 215,097/x
  3. Step 3: Cross multiply
    101,803.50x = 215,097 × 215,097
  4. Step 4: Simplify right side
    101,803.50x = 46,266,719,409
  5. Step 5: Solve for x
    x = 46,266,719,409/101,803.50
  6. Step 6: Final answer
    x = 454,470.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.