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Finding the Third Proportional to 91,582.31 and 195,261.38

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Solution

The third proportional to 91,582.31 and 195,261.38 is: 416,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,582.31 : 195,261.38 = 195,261.38 : x
  2. Step 2: Convert to fraction form
    91,582.31/195,261.38 = 195,261.38/x
  3. Step 3: Cross multiply
    91,582.31x = 195,261.38 × 195,261.38
  4. Step 4: Simplify right side
    91,582.31x = 38,127,004,566.89
  5. Step 5: Solve for x
    x = 38,127,004,566.89/91,582.31
  6. Step 6: Final answer
    x = 416,314.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.