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Finding the Third Proportional to 107,461.88 and 223,645.50

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Solution

The third proportional to 107,461.88 and 223,645.50 is: 465,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,461.88 : 223,645.50 = 223,645.50 : x
  2. Step 2: Convert to fraction form
    107,461.88/223,645.50 = 223,645.50/x
  3. Step 3: Cross multiply
    107,461.88x = 223,645.50 × 223,645.50
  4. Step 4: Simplify right side
    107,461.88x = 50,017,309,670.25
  5. Step 5: Solve for x
    x = 50,017,309,670.25/107,461.88
  6. Step 6: Final answer
    x = 465,442.37

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.