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Finding the Third Proportional to 82,016,251 and 115,366,015

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Solution

The third proportional to 82,016,251 and 115,366,015 is: 162,276,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016,251 : 115,366,015 = 115,366,015 : x
  2. Step 2: Convert to fraction form
    82,016,251/115,366,015 = 115,366,015/x
  3. Step 3: Cross multiply
    82,016,251x = 115,366,015 × 115,366,015
  4. Step 4: Simplify right side
    82,016,251x = 13,309,317,416,980,224
  5. Step 5: Solve for x
    x = 13,309,317,416,980,224/82,016,251
  6. Step 6: Final answer
    x = 162,276,588.54

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.