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Finding the Third Proportional to 100,406.50 and 218,313.50

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Solution

The third proportional to 100,406.50 and 218,313.50 is: 474,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.50 : 218,313.50 = 218,313.50 : x
  2. Step 2: Convert to fraction form
    100,406.50/218,313.50 = 218,313.50/x
  3. Step 3: Cross multiply
    100,406.50x = 218,313.50 × 218,313.50
  4. Step 4: Simplify right side
    100,406.50x = 47,660,784,282.25
  5. Step 5: Solve for x
    x = 47,660,784,282.25/100,406.50
  6. Step 6: Final answer
    x = 474,678.28

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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.