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Finding the Third Proportional to 110,866.50 and 243,194.50

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Solution

The third proportional to 110,866.50 and 243,194.50 is: 533,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,866.50 : 243,194.50 = 243,194.50 : x
  2. Step 2: Convert to fraction form
    110,866.50/243,194.50 = 243,194.50/x
  3. Step 3: Cross multiply
    110,866.50x = 243,194.50 × 243,194.50
  4. Step 4: Simplify right side
    110,866.50x = 59,143,564,830.25
  5. Step 5: Solve for x
    x = 59,143,564,830.25/110,866.50
  6. Step 6: Final answer
    x = 533,466.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.