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Finding the Third Proportional to 195,096.49 and 425,645.71

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Solution

The third proportional to 195,096.49 and 425,645.71 is: 928,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,096.49 : 425,645.71 = 425,645.71 : x
  2. Step 2: Convert to fraction form
    195,096.49/425,645.71 = 425,645.71/x
  3. Step 3: Cross multiply
    195,096.49x = 425,645.71 × 425,645.71
  4. Step 4: Simplify right side
    195,096.49x = 181,174,266,667.14
  5. Step 5: Solve for x
    x = 181,174,266,667.14/195,096.49
  6. Step 6: Final answer
    x = 928,639.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.