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Finding the Third Proportional to 95,760 and 223,673.50

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Solution

The third proportional to 95,760 and 223,673.50 is: 522,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,760 : 223,673.50 = 223,673.50 : x
  2. Step 2: Convert to fraction form
    95,760/223,673.50 = 223,673.50/x
  3. Step 3: Cross multiply
    95,760x = 223,673.50 × 223,673.50
  4. Step 4: Simplify right side
    95,760x = 50,029,834,602.25
  5. Step 5: Solve for x
    x = 50,029,834,602.25/95,760
  6. Step 6: Final answer
    x = 522,450.24

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.