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Finding the Third Proportional to 101,753 and 223,806.50

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Solution

The third proportional to 101,753 and 223,806.50 is: 492,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,753 : 223,806.50 = 223,806.50 : x
  2. Step 2: Convert to fraction form
    101,753/223,806.50 = 223,806.50/x
  3. Step 3: Cross multiply
    101,753x = 223,806.50 × 223,806.50
  4. Step 4: Simplify right side
    101,753x = 50,089,349,442.25
  5. Step 5: Solve for x
    x = 50,089,349,442.25/101,753
  6. Step 6: Final answer
    x = 492,264.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.