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Finding the Third Proportional to 195,595.88 and 412,557.75

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Solution

The third proportional to 195,595.88 and 412,557.75 is: 870,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,595.88 : 412,557.75 = 412,557.75 : x
  2. Step 2: Convert to fraction form
    195,595.88/412,557.75 = 412,557.75/x
  3. Step 3: Cross multiply
    195,595.88x = 412,557.75 × 412,557.75
  4. Step 4: Simplify right side
    195,595.88x = 170,203,897,085.06
  5. Step 5: Solve for x
    x = 170,203,897,085.06/195,595.88
  6. Step 6: Final answer
    x = 870,181.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.