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Finding the Third Proportional to 82,097,208 and 178,483,896

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Solution

The third proportional to 82,097,208 and 178,483,896 is: 388,033,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,097,208 : 178,483,896 = 178,483,896 : x
  2. Step 2: Convert to fraction form
    82,097,208/178,483,896 = 178,483,896/x
  3. Step 3: Cross multiply
    82,097,208x = 178,483,896 × 178,483,896
  4. Step 4: Simplify right side
    82,097,208x = 31,856,501,131,338,816
  5. Step 5: Solve for x
    x = 31,856,501,131,338,816/82,097,208
  6. Step 6: Final answer
    x = 388,033,916.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.