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Finding the Third Proportional to 95,709 and 223,558.50

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Solution

The third proportional to 95,709 and 223,558.50 is: 522,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,709 : 223,558.50 = 223,558.50 : x
  2. Step 2: Convert to fraction form
    95,709/223,558.50 = 223,558.50/x
  3. Step 3: Cross multiply
    95,709x = 223,558.50 × 223,558.50
  4. Step 4: Simplify right side
    95,709x = 49,978,402,922.25
  5. Step 5: Solve for x
    x = 49,978,402,922.25/95,709
  6. Step 6: Final answer
    x = 522,191.26

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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.