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Finding the Third Proportional to 95,826 and 151,636.50

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Solution

The third proportional to 95,826 and 151,636.50 is: 239,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,826 : 151,636.50 = 151,636.50 : x
  2. Step 2: Convert to fraction form
    95,826/151,636.50 = 151,636.50/x
  3. Step 3: Cross multiply
    95,826x = 151,636.50 × 151,636.50
  4. Step 4: Simplify right side
    95,826x = 22,993,628,132.25
  5. Step 5: Solve for x
    x = 22,993,628,132.25/95,826
  6. Step 6: Final answer
    x = 239,951.87

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.