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Finding the Third Proportional to 95,146.50 and 209,127

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Solution

The third proportional to 95,146.50 and 209,127 is: 459,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,146.50 : 209,127 = 209,127 : x
  2. Step 2: Convert to fraction form
    95,146.50/209,127 = 209,127/x
  3. Step 3: Cross multiply
    95,146.50x = 209,127 × 209,127
  4. Step 4: Simplify right side
    95,146.50x = 43,734,102,129
  5. Step 5: Solve for x
    x = 43,734,102,129/95,146.50
  6. Step 6: Final answer
    x = 459,650.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.