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Finding the Third Proportional to 103,562 and 223,421.50

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Solution

The third proportional to 103,562 and 223,421.50 is: 482,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,562 : 223,421.50 = 223,421.50 : x
  2. Step 2: Convert to fraction form
    103,562/223,421.50 = 223,421.50/x
  3. Step 3: Cross multiply
    103,562x = 223,421.50 × 223,421.50
  4. Step 4: Simplify right side
    103,562x = 49,917,166,662.25
  5. Step 5: Solve for x
    x = 49,917,166,662.25/103,562
  6. Step 6: Final answer
    x = 482,002.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.