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Finding the Third Proportional to 45,461.25 and 95,890.50

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Solution

The third proportional to 45,461.25 and 95,890.50 is: 202,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,461.25 : 95,890.50 = 95,890.50 : x
  2. Step 2: Convert to fraction form
    45,461.25/95,890.50 = 95,890.50/x
  3. Step 3: Cross multiply
    45,461.25x = 95,890.50 × 95,890.50
  4. Step 4: Simplify right side
    45,461.25x = 9,194,987,990.25
  5. Step 5: Solve for x
    x = 9,194,987,990.25/45,461.25
  6. Step 6: Final answer
    x = 202,259.90

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.