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Finding the Third Proportional to 193,551.75 and 455,385.09

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Solution

The third proportional to 193,551.75 and 455,385.09 is: 1,071,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,551.75 : 455,385.09 = 455,385.09 : x
  2. Step 2: Convert to fraction form
    193,551.75/455,385.09 = 455,385.09/x
  3. Step 3: Cross multiply
    193,551.75x = 455,385.09 × 455,385.09
  4. Step 4: Simplify right side
    193,551.75x = 207,375,583,609.70
  5. Step 5: Solve for x
    x = 207,375,583,609.70/193,551.75
  6. Step 6: Final answer
    x = 1,071,421.90

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.