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Finding the Third Proportional to 95,388.25 and 207,192.50

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Solution

The third proportional to 95,388.25 and 207,192.50 is: 450,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,388.25 : 207,192.50 = 207,192.50 : x
  2. Step 2: Convert to fraction form
    95,388.25/207,192.50 = 207,192.50/x
  3. Step 3: Cross multiply
    95,388.25x = 207,192.50 × 207,192.50
  4. Step 4: Simplify right side
    95,388.25x = 42,928,732,056.25
  5. Step 5: Solve for x
    x = 42,928,732,056.25/95,388.25
  6. Step 6: Final answer
    x = 450,042.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.