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Finding the Third Proportional to 195,613.50 and 472,216.50

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Solution

The third proportional to 195,613.50 and 472,216.50 is: 1,139,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,613.50 : 472,216.50 = 472,216.50 : x
  2. Step 2: Convert to fraction form
    195,613.50/472,216.50 = 472,216.50/x
  3. Step 3: Cross multiply
    195,613.50x = 472,216.50 × 472,216.50
  4. Step 4: Simplify right side
    195,613.50x = 222,988,422,872.25
  5. Step 5: Solve for x
    x = 222,988,422,872.25/195,613.50
  6. Step 6: Final answer
    x = 1,139,943.93

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.