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Finding the Third Proportional to 100,771.50 and 219,962.50

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Solution

The third proportional to 100,771.50 and 219,962.50 is: 480,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,771.50 : 219,962.50 = 219,962.50 : x
  2. Step 2: Convert to fraction form
    100,771.50/219,962.50 = 219,962.50/x
  3. Step 3: Cross multiply
    100,771.50x = 219,962.50 × 219,962.50
  4. Step 4: Simplify right side
    100,771.50x = 48,383,501,406.25
  5. Step 5: Solve for x
    x = 48,383,501,406.25/100,771.50
  6. Step 6: Final answer
    x = 480,130.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.