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Finding the Third Proportional to 95,127 and 204,970.69

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Solution

The third proportional to 95,127 and 204,970.69 is: 441,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,127 : 204,970.69 = 204,970.69 : x
  2. Step 2: Convert to fraction form
    95,127/204,970.69 = 204,970.69/x
  3. Step 3: Cross multiply
    95,127x = 204,970.69 × 204,970.69
  4. Step 4: Simplify right side
    95,127x = 42,012,982,734.22
  5. Step 5: Solve for x
    x = 42,012,982,734.22/95,127
  6. Step 6: Final answer
    x = 441,651.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.