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Finding the Third Proportional to 82,097,245 and 178,483,970

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Solution

The third proportional to 82,097,245 and 178,483,970 is: 388,034,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,097,245 : 178,483,970 = 178,483,970 : x
  2. Step 2: Convert to fraction form
    82,097,245/178,483,970 = 178,483,970/x
  3. Step 3: Cross multiply
    82,097,245x = 178,483,970 × 178,483,970
  4. Step 4: Simplify right side
    82,097,245x = 31,856,527,546,960,900
  5. Step 5: Solve for x
    x = 31,856,527,546,960,900/82,097,245
  6. Step 6: Final answer
    x = 388,034,063.10

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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.