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Finding the Third Proportional to 195,316.31 and 428,023.69

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Solution

The third proportional to 195,316.31 and 428,023.69 is: 937,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,316.31 : 428,023.69 = 428,023.69 : x
  2. Step 2: Convert to fraction form
    195,316.31/428,023.69 = 428,023.69/x
  3. Step 3: Cross multiply
    195,316.31x = 428,023.69 × 428,023.69
  4. Step 4: Simplify right side
    195,316.31x = 183,204,277,061.10
  5. Step 5: Solve for x
    x = 183,204,277,061.10/195,316.31
  6. Step 6: Final answer
    x = 937,987.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.