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Finding the Third Proportional to 82,496,009.25 and 179,179,770.94

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Solution

The third proportional to 82,496,009.25 and 179,179,770.94 is: 389,175,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,496,009.25 : 179,179,770.94 = 179,179,770.94 : x
  2. Step 2: Convert to fraction form
    82,496,009.25/179,179,770.94 = 179,179,770.94/x
  3. Step 3: Cross multiply
    82,496,009.25x = 179,179,770.94 × 179,179,770.94
  4. Step 4: Simplify right side
    82,496,009.25x = 32,105,390,313,214,968
  5. Step 5: Solve for x
    x = 32,105,390,313,214,968/82,496,009.25
  6. Step 6: Final answer
    x = 389,175,071.68

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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.